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Finding the Fourth Proportional to 9,432.56, 13,016.29 and 5,182.79

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Solution

The fourth proportional to 9,432.56, 13,016.29 and 5,182.79 is: 7,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.56 : 13,016.29 = 5,182.79 : x
  2. Step 2: Convert to fraction form
    9,432.56/13,016.29 = 5,182.79/x
  3. Step 3: Cross multiply
    9,432.56x = 13,016.29 × 5,182.79
  4. Step 4: Simplify right side
    9,432.56x = 67,460,697.65
  5. Step 5: Solve for x
    x = 67,460,697.65/9,432.56
  6. Step 6: Final answer
    x = 7,151.90

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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.