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Finding the Fourth Proportional to 9,618.62, 13,267.17 and 6,265.80

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Solution

The fourth proportional to 9,618.62, 13,267.17 and 6,265.80 is: 8,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.62 : 13,267.17 = 6,265.80 : x
  2. Step 2: Convert to fraction form
    9,618.62/13,267.17 = 6,265.80/x
  3. Step 3: Cross multiply
    9,618.62x = 13,267.17 × 6,265.80
  4. Step 4: Simplify right side
    9,618.62x = 83,129,433.79
  5. Step 5: Solve for x
    x = 83,129,433.79/9,618.62
  6. Step 6: Final answer
    x = 8,642.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.