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Finding the Fourth Proportional to 9,139.10, 13,723.05 and 5,251.10

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Solution

The fourth proportional to 9,139.10, 13,723.05 and 5,251.10 is: 7,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.10 : 13,723.05 = 5,251.10 : x
  2. Step 2: Convert to fraction form
    9,139.10/13,723.05 = 5,251.10/x
  3. Step 3: Cross multiply
    9,139.10x = 13,723.05 × 5,251.10
  4. Step 4: Simplify right side
    9,139.10x = 72,061,107.86
  5. Step 5: Solve for x
    x = 72,061,107.86/9,139.10
  6. Step 6: Final answer
    x = 7,884.92

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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.