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Finding the Fourth Proportional to 9,013.52, 13,491.96 and 5,730.32

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Solution

The fourth proportional to 9,013.52, 13,491.96 and 5,730.32 is: 8,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.52 : 13,491.96 = 5,730.32 : x
  2. Step 2: Convert to fraction form
    9,013.52/13,491.96 = 5,730.32/x
  3. Step 3: Cross multiply
    9,013.52x = 13,491.96 × 5,730.32
  4. Step 4: Simplify right side
    9,013.52x = 77,313,248.23
  5. Step 5: Solve for x
    x = 77,313,248.23/9,013.52
  6. Step 6: Final answer
    x = 8,577.48

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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.