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Finding the Fourth Proportional to 9,494.32, 13,108.64 and 6,145.24

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Solution

The fourth proportional to 9,494.32, 13,108.64 and 6,145.24 is: 8,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.32 : 13,108.64 = 6,145.24 : x
  2. Step 2: Convert to fraction form
    9,494.32/13,108.64 = 6,145.24/x
  3. Step 3: Cross multiply
    9,494.32x = 13,108.64 × 6,145.24
  4. Step 4: Simplify right side
    9,494.32x = 80,555,738.87
  5. Step 5: Solve for x
    x = 80,555,738.87/9,494.32
  6. Step 6: Final answer
    x = 8,484.62

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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.