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Finding the Fourth Proportional to 9,882.52, 14,815.46 and 4,614.77

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Solution

The fourth proportional to 9,882.52, 14,815.46 and 4,614.77 is: 6,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.52 : 14,815.46 = 4,614.77 : x
  2. Step 2: Convert to fraction form
    9,882.52/14,815.46 = 4,614.77/x
  3. Step 3: Cross multiply
    9,882.52x = 14,815.46 × 4,614.77
  4. Step 4: Simplify right side
    9,882.52x = 68,369,940.34
  5. Step 5: Solve for x
    x = 68,369,940.34/9,882.52
  6. Step 6: Final answer
    x = 6,918.27

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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.