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Finding the Fourth Proportional to 9,011.24, 13,516.56 and 8,470.16

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Solution

The fourth proportional to 9,011.24, 13,516.56 and 8,470.16 is: 12,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.24 : 13,516.56 = 8,470.16 : x
  2. Step 2: Convert to fraction form
    9,011.24/13,516.56 = 8,470.16/x
  3. Step 3: Cross multiply
    9,011.24x = 13,516.56 × 8,470.16
  4. Step 4: Simplify right side
    9,011.24x = 114,487,425.85
  5. Step 5: Solve for x
    x = 114,487,425.85/9,011.24
  6. Step 6: Final answer
    x = 12,704.96

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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.