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Finding the Fourth Proportional to 9,002.68, 13,509.52 and 5,703.96

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Solution

The fourth proportional to 9,002.68, 13,509.52 and 5,703.96 is: 8,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.68 : 13,509.52 = 5,703.96 : x
  2. Step 2: Convert to fraction form
    9,002.68/13,509.52 = 5,703.96/x
  3. Step 3: Cross multiply
    9,002.68x = 13,509.52 × 5,703.96
  4. Step 4: Simplify right side
    9,002.68x = 77,057,761.70
  5. Step 5: Solve for x
    x = 77,057,761.70/9,002.68
  6. Step 6: Final answer
    x = 8,559.42

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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.