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Finding the Fourth Proportional to 6,614.98, 9,924.76 and 4,402.69

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Solution

The fourth proportional to 6,614.98, 9,924.76 and 4,402.69 is: 6,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.98 : 9,924.76 = 4,402.69 : x
  2. Step 2: Convert to fraction form
    6,614.98/9,924.76 = 4,402.69/x
  3. Step 3: Cross multiply
    6,614.98x = 9,924.76 × 4,402.69
  4. Step 4: Simplify right side
    6,614.98x = 43,695,641.60
  5. Step 5: Solve for x
    x = 43,695,641.60/6,614.98
  6. Step 6: Final answer
    x = 6,605.56

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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.