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Finding the Fourth Proportional to 7,147.12, 9,862.86 and 4,003.60

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Solution

The fourth proportional to 7,147.12, 9,862.86 and 4,003.60 is: 5,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.12 : 9,862.86 = 4,003.60 : x
  2. Step 2: Convert to fraction form
    7,147.12/9,862.86 = 4,003.60/x
  3. Step 3: Cross multiply
    7,147.12x = 9,862.86 × 4,003.60
  4. Step 4: Simplify right side
    7,147.12x = 39,486,946.30
  5. Step 5: Solve for x
    x = 39,486,946.30/7,147.12
  6. Step 6: Final answer
    x = 5,524.88

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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.