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Finding the Fourth Proportional to 9,029.76, 13,523.04 and 5,732.52

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Solution

The fourth proportional to 9,029.76, 13,523.04 and 5,732.52 is: 8,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.76 : 13,523.04 = 5,732.52 : x
  2. Step 2: Convert to fraction form
    9,029.76/13,523.04 = 5,732.52/x
  3. Step 3: Cross multiply
    9,029.76x = 13,523.04 × 5,732.52
  4. Step 4: Simplify right side
    9,029.76x = 77,521,097.26
  5. Step 5: Solve for x
    x = 77,521,097.26/9,029.76
  6. Step 6: Final answer
    x = 8,585.07

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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.