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Finding the Fourth Proportional to 9,139.56, 13,705.02 and 4,207.74

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Solution

The fourth proportional to 9,139.56, 13,705.02 and 4,207.74 is: 6,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.56 : 13,705.02 = 4,207.74 : x
  2. Step 2: Convert to fraction form
    9,139.56/13,705.02 = 4,207.74/x
  3. Step 3: Cross multiply
    9,139.56x = 13,705.02 × 4,207.74
  4. Step 4: Simplify right side
    9,139.56x = 57,667,160.85
  5. Step 5: Solve for x
    x = 57,667,160.85/9,139.56
  6. Step 6: Final answer
    x = 6,309.62

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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.