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Finding the Fourth Proportional to 9,139.60, 13,701 and 3,294.78

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Solution

The fourth proportional to 9,139.60, 13,701 and 3,294.78 is: 4,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.60 : 13,701 = 3,294.78 : x
  2. Step 2: Convert to fraction form
    9,139.60/13,701 = 3,294.78/x
  3. Step 3: Cross multiply
    9,139.60x = 13,701 × 3,294.78
  4. Step 4: Simplify right side
    9,139.60x = 45,141,780.78
  5. Step 5: Solve for x
    x = 45,141,780.78/9,139.60
  6. Step 6: Final answer
    x = 4,939.14

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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.