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Finding the Fourth Proportional to 9,187.17, 13,780.86 and 3,641.86

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Solution

The fourth proportional to 9,187.17, 13,780.86 and 3,641.86 is: 5,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.17 : 13,780.86 = 3,641.86 : x
  2. Step 2: Convert to fraction form
    9,187.17/13,780.86 = 3,641.86/x
  3. Step 3: Cross multiply
    9,187.17x = 13,780.86 × 3,641.86
  4. Step 4: Simplify right side
    9,187.17x = 50,187,962.80
  5. Step 5: Solve for x
    x = 50,187,962.80/9,187.17
  6. Step 6: Final answer
    x = 5,462.83

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