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Finding the Fourth Proportional to 9,347.72, 14,006.92 and 5,877.68

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Solution

The fourth proportional to 9,347.72, 14,006.92 and 5,877.68 is: 8,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.72 : 14,006.92 = 5,877.68 : x
  2. Step 2: Convert to fraction form
    9,347.72/14,006.92 = 5,877.68/x
  3. Step 3: Cross multiply
    9,347.72x = 14,006.92 × 5,877.68
  4. Step 4: Simplify right side
    9,347.72x = 82,328,193.55
  5. Step 5: Solve for x
    x = 82,328,193.55/9,347.72
  6. Step 6: Final answer
    x = 8,807.30

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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.