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Finding the Fourth Proportional to 9,778.20, 13,489.68 and 6,544.14

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Solution

The fourth proportional to 9,778.20, 13,489.68 and 6,544.14 is: 9,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.20 : 13,489.68 = 6,544.14 : x
  2. Step 2: Convert to fraction form
    9,778.20/13,489.68 = 6,544.14/x
  3. Step 3: Cross multiply
    9,778.20x = 13,489.68 × 6,544.14
  4. Step 4: Simplify right side
    9,778.20x = 88,278,354.48
  5. Step 5: Solve for x
    x = 88,278,354.48/9,778.20
  6. Step 6: Final answer
    x = 9,028.08

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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.