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Finding the Fourth Proportional to 9,285.31, 13,931.07 and 3,045.61

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Solution

The fourth proportional to 9,285.31, 13,931.07 and 3,045.61 is: 4,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.31 : 13,931.07 = 3,045.61 : x
  2. Step 2: Convert to fraction form
    9,285.31/13,931.07 = 3,045.61/x
  3. Step 3: Cross multiply
    9,285.31x = 13,931.07 × 3,045.61
  4. Step 4: Simplify right side
    9,285.31x = 42,428,606.10
  5. Step 5: Solve for x
    x = 42,428,606.10/9,285.31
  6. Step 6: Final answer
    x = 4,569.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.