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Finding the Fourth Proportional to 9,175.62, 12,660.54 and 5,589.66

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Solution

The fourth proportional to 9,175.62, 12,660.54 and 5,589.66 is: 7,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.62 : 12,660.54 = 5,589.66 : x
  2. Step 2: Convert to fraction form
    9,175.62/12,660.54 = 5,589.66/x
  3. Step 3: Cross multiply
    9,175.62x = 12,660.54 × 5,589.66
  4. Step 4: Simplify right side
    9,175.62x = 70,768,114.02
  5. Step 5: Solve for x
    x = 70,768,114.02/9,175.62
  6. Step 6: Final answer
    x = 7,712.62

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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.