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Finding the Fourth Proportional to 9,005.74, 13,508.57 and 2,432.60

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Solution

The fourth proportional to 9,005.74, 13,508.57 and 2,432.60 is: 3,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.74 : 13,508.57 = 2,432.60 : x
  2. Step 2: Convert to fraction form
    9,005.74/13,508.57 = 2,432.60/x
  3. Step 3: Cross multiply
    9,005.74x = 13,508.57 × 2,432.60
  4. Step 4: Simplify right side
    9,005.74x = 32,860,947.38
  5. Step 5: Solve for x
    x = 32,860,947.38/9,005.74
  6. Step 6: Final answer
    x = 3,648.89

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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.