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Finding the Fourth Proportional to 9,478.74, 13,080.36 and 5,171.66

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Solution

The fourth proportional to 9,478.74, 13,080.36 and 5,171.66 is: 7,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.74 : 13,080.36 = 5,171.66 : x
  2. Step 2: Convert to fraction form
    9,478.74/13,080.36 = 5,171.66/x
  3. Step 3: Cross multiply
    9,478.74x = 13,080.36 × 5,171.66
  4. Step 4: Simplify right side
    9,478.74x = 67,647,174.60
  5. Step 5: Solve for x
    x = 67,647,174.60/9,478.74
  6. Step 6: Final answer
    x = 7,136.73

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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.