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Finding the Fourth Proportional to 9,101.69, 13,654.91 and 2,861.45

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Solution

The fourth proportional to 9,101.69, 13,654.91 and 2,861.45 is: 4,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.69 : 13,654.91 = 2,861.45 : x
  2. Step 2: Convert to fraction form
    9,101.69/13,654.91 = 2,861.45/x
  3. Step 3: Cross multiply
    9,101.69x = 13,654.91 × 2,861.45
  4. Step 4: Simplify right side
    9,101.69x = 39,072,781.10
  5. Step 5: Solve for x
    x = 39,072,781.10/9,101.69
  6. Step 6: Final answer
    x = 4,292.92

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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.