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Finding the Fourth Proportional to 9,264.56, 12,785.16 and 5,073.20

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Solution

The fourth proportional to 9,264.56, 12,785.16 and 5,073.20 is: 7,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.56 : 12,785.16 = 5,073.20 : x
  2. Step 2: Convert to fraction form
    9,264.56/12,785.16 = 5,073.20/x
  3. Step 3: Cross multiply
    9,264.56x = 12,785.16 × 5,073.20
  4. Step 4: Simplify right side
    9,264.56x = 64,861,673.71
  5. Step 5: Solve for x
    x = 64,861,673.71/9,264.56
  6. Step 6: Final answer
    x = 7,001.05

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