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Finding the Fourth Proportional to 9,358.27, 14,037.13 and 2,432.77

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Solution

The fourth proportional to 9,358.27, 14,037.13 and 2,432.77 is: 3,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.27 : 14,037.13 = 2,432.77 : x
  2. Step 2: Convert to fraction form
    9,358.27/14,037.13 = 2,432.77/x
  3. Step 3: Cross multiply
    9,358.27x = 14,037.13 × 2,432.77
  4. Step 4: Simplify right side
    9,358.27x = 34,149,108.75
  5. Step 5: Solve for x
    x = 34,149,108.75/9,358.27
  6. Step 6: Final answer
    x = 3,649.08

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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.