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Finding the Fourth Proportional to 6,931.29, 9,564.96 and 3,787.47

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Solution

The fourth proportional to 6,931.29, 9,564.96 and 3,787.47 is: 5,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.29 : 9,564.96 = 3,787.47 : x
  2. Step 2: Convert to fraction form
    6,931.29/9,564.96 = 3,787.47/x
  3. Step 3: Cross multiply
    6,931.29x = 9,564.96 × 3,787.47
  4. Step 4: Simplify right side
    6,931.29x = 36,226,999.05
  5. Step 5: Solve for x
    x = 36,226,999.05/6,931.29
  6. Step 6: Final answer
    x = 5,226.59

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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.