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Finding the Fourth Proportional to 9,441.92, 13,034.72 and 6,314.56

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Solution

The fourth proportional to 9,441.92, 13,034.72 and 6,314.56 is: 8,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.92 : 13,034.72 = 6,314.56 : x
  2. Step 2: Convert to fraction form
    9,441.92/13,034.72 = 6,314.56/x
  3. Step 3: Cross multiply
    9,441.92x = 13,034.72 × 6,314.56
  4. Step 4: Simplify right side
    9,441.92x = 82,308,521.52
  5. Step 5: Solve for x
    x = 82,308,521.52/9,441.92
  6. Step 6: Final answer
    x = 8,717.35

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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.