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Finding the Fourth Proportional to 9,005.38, 13,486.20 and 6,224.68

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Solution

The fourth proportional to 9,005.38, 13,486.20 and 6,224.68 is: 9,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.38 : 13,486.20 = 6,224.68 : x
  2. Step 2: Convert to fraction form
    9,005.38/13,486.20 = 6,224.68/x
  3. Step 3: Cross multiply
    9,005.38x = 13,486.20 × 6,224.68
  4. Step 4: Simplify right side
    9,005.38x = 83,947,279.42
  5. Step 5: Solve for x
    x = 83,947,279.42/9,005.38
  6. Step 6: Final answer
    x = 9,321.90

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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.