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Finding the Fourth Proportional to 9,657.52, 13,327.58 and 5,880.84

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Solution

The fourth proportional to 9,657.52, 13,327.58 and 5,880.84 is: 8,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.52 : 13,327.58 = 5,880.84 : x
  2. Step 2: Convert to fraction form
    9,657.52/13,327.58 = 5,880.84/x
  3. Step 3: Cross multiply
    9,657.52x = 13,327.58 × 5,880.84
  4. Step 4: Simplify right side
    9,657.52x = 78,377,365.57
  5. Step 5: Solve for x
    x = 78,377,365.57/9,657.52
  6. Step 6: Final answer
    x = 8,115.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.