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Finding the Fourth Proportional to 9,885.27, 14,820.92 and 4,614.71

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Solution

The fourth proportional to 9,885.27, 14,820.92 and 4,614.71 is: 6,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.27 : 14,820.92 = 4,614.71 : x
  2. Step 2: Convert to fraction form
    9,885.27/14,820.92 = 4,614.71/x
  3. Step 3: Cross multiply
    9,885.27x = 14,820.92 × 4,614.71
  4. Step 4: Simplify right side
    9,885.27x = 68,394,193.82
  5. Step 5: Solve for x
    x = 68,394,193.82/9,885.27
  6. Step 6: Final answer
    x = 6,918.80

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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.