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Finding the Fourth Proportional to 9,462.55, 14,171.94 and 9,134.50

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Solution

The fourth proportional to 9,462.55, 14,171.94 and 9,134.50 is: 13,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.55 : 14,171.94 = 9,134.50 : x
  2. Step 2: Convert to fraction form
    9,462.55/14,171.94 = 9,134.50/x
  3. Step 3: Cross multiply
    9,462.55x = 14,171.94 × 9,134.50
  4. Step 4: Simplify right side
    9,462.55x = 129,453,585.93
  5. Step 5: Solve for x
    x = 129,453,585.93/9,462.55
  6. Step 6: Final answer
    x = 13,680.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.