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Finding the Fourth Proportional to 6,520.86, 9,781.92 and 2,624.76

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Solution

The fourth proportional to 6,520.86, 9,781.92 and 2,624.76 is: 3,937.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.86 : 9,781.92 = 2,624.76 : x
  2. Step 2: Convert to fraction form
    6,520.86/9,781.92 = 2,624.76/x
  3. Step 3: Cross multiply
    6,520.86x = 9,781.92 × 2,624.76
  4. Step 4: Simplify right side
    6,520.86x = 25,675,192.34
  5. Step 5: Solve for x
    x = 25,675,192.34/6,520.86
  6. Step 6: Final answer
    x = 3,937.39

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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.