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Finding the Fourth Proportional to 9,527.29, 13,154.07 and 5,947.70

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Solution

The fourth proportional to 9,527.29, 13,154.07 and 5,947.70 is: 8,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.29 : 13,154.07 = 5,947.70 : x
  2. Step 2: Convert to fraction form
    9,527.29/13,154.07 = 5,947.70/x
  3. Step 3: Cross multiply
    9,527.29x = 13,154.07 × 5,947.70
  4. Step 4: Simplify right side
    9,527.29x = 78,236,418.67
  5. Step 5: Solve for x
    x = 78,236,418.67/9,527.29
  6. Step 6: Final answer
    x = 8,211.83

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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.