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Finding the Fourth Proportional to 9,108.41, 13,666.05 and 3,565.71

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Solution

The fourth proportional to 9,108.41, 13,666.05 and 3,565.71 is: 5,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.41 : 13,666.05 = 3,565.71 : x
  2. Step 2: Convert to fraction form
    9,108.41/13,666.05 = 3,565.71/x
  3. Step 3: Cross multiply
    9,108.41x = 13,666.05 × 3,565.71
  4. Step 4: Simplify right side
    9,108.41x = 48,729,171.15
  5. Step 5: Solve for x
    x = 48,729,171.15/9,108.41
  6. Step 6: Final answer
    x = 5,349.91

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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.