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Finding the Fourth Proportional to 9,264.52, 13,892.70 and 2,689.24

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Solution

The fourth proportional to 9,264.52, 13,892.70 and 2,689.24 is: 4,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.52 : 13,892.70 = 2,689.24 : x
  2. Step 2: Convert to fraction form
    9,264.52/13,892.70 = 2,689.24/x
  3. Step 3: Cross multiply
    9,264.52x = 13,892.70 × 2,689.24
  4. Step 4: Simplify right side
    9,264.52x = 37,360,804.55
  5. Step 5: Solve for x
    x = 37,360,804.55/9,264.52
  6. Step 6: Final answer
    x = 4,032.68

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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.