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Finding the Fourth Proportional to 9,767.60, 13,479.45 and 5,517.80

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Solution

The fourth proportional to 9,767.60, 13,479.45 and 5,517.80 is: 7,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.60 : 13,479.45 = 5,517.80 : x
  2. Step 2: Convert to fraction form
    9,767.60/13,479.45 = 5,517.80/x
  3. Step 3: Cross multiply
    9,767.60x = 13,479.45 × 5,517.80
  4. Step 4: Simplify right side
    9,767.60x = 74,376,909.21
  5. Step 5: Solve for x
    x = 74,376,909.21/9,767.60
  6. Step 6: Final answer
    x = 7,614.66

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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.