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Finding the Fourth Proportional to 9,046.66, 13,567.11 and 3,781.66

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Solution

The fourth proportional to 9,046.66, 13,567.11 and 3,781.66 is: 5,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.66 : 13,567.11 = 3,781.66 : x
  2. Step 2: Convert to fraction form
    9,046.66/13,567.11 = 3,781.66/x
  3. Step 3: Cross multiply
    9,046.66x = 13,567.11 × 3,781.66
  4. Step 4: Simplify right side
    9,046.66x = 51,306,197.20
  5. Step 5: Solve for x
    x = 51,306,197.20/9,046.66
  6. Step 6: Final answer
    x = 5,671.29

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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.