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Finding the Fourth Proportional to 9,462.05, 14,171.19 and 9,134

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Solution

The fourth proportional to 9,462.05, 14,171.19 and 9,134 is: 13,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.05 : 14,171.19 = 9,134 : x
  2. Step 2: Convert to fraction form
    9,462.05/14,171.19 = 9,134/x
  3. Step 3: Cross multiply
    9,462.05x = 14,171.19 × 9,134
  4. Step 4: Simplify right side
    9,462.05x = 129,439,649.46
  5. Step 5: Solve for x
    x = 129,439,649.46/9,462.05
  6. Step 6: Final answer
    x = 13,679.87

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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.