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Finding the Fourth Proportional to 9,539.52, 14,312.40 and 3,696.16

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Solution

The fourth proportional to 9,539.52, 14,312.40 and 3,696.16 is: 5,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.52 : 14,312.40 = 3,696.16 : x
  2. Step 2: Convert to fraction form
    9,539.52/14,312.40 = 3,696.16/x
  3. Step 3: Cross multiply
    9,539.52x = 14,312.40 × 3,696.16
  4. Step 4: Simplify right side
    9,539.52x = 52,900,920.38
  5. Step 5: Solve for x
    x = 52,900,920.38/9,539.52
  6. Step 6: Final answer
    x = 5,545.45

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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.