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Finding the Fourth Proportional to 9,854,342.32, 13,500,223.09 and 9,485,914.15

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Solution

The fourth proportional to 9,854,342.32, 13,500,223.09 and 9,485,914.15 is: 12,995,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854,342.32 : 13,500,223.09 = 9,485,914.15 : x
  2. Step 2: Convert to fraction form
    9,854,342.32/13,500,223.09 = 9,485,914.15/x
  3. Step 3: Cross multiply
    9,854,342.32x = 13,500,223.09 × 9,485,914.15
  4. Step 4: Simplify right side
    9,854,342.32x = 128,061,957,192,778.84
  5. Step 5: Solve for x
    x = 128,061,957,192,778.84/9,854,342.32
  6. Step 6: Final answer
    x = 12,995,484.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.