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Finding the Fourth Proportional to 9,498.16, 13,108.38 and 5,250.22

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Solution

The fourth proportional to 9,498.16, 13,108.38 and 5,250.22 is: 7,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.16 : 13,108.38 = 5,250.22 : x
  2. Step 2: Convert to fraction form
    9,498.16/13,108.38 = 5,250.22/x
  3. Step 3: Cross multiply
    9,498.16x = 13,108.38 × 5,250.22
  4. Step 4: Simplify right side
    9,498.16x = 68,821,878.84
  5. Step 5: Solve for x
    x = 68,821,878.84/9,498.16
  6. Step 6: Final answer
    x = 7,245.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.