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Finding the Fourth Proportional to 7,147.76, 9,863.25 and 4,003.34

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Solution

The fourth proportional to 7,147.76, 9,863.25 and 4,003.34 is: 5,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.76 : 9,863.25 = 4,003.34 : x
  2. Step 2: Convert to fraction form
    7,147.76/9,863.25 = 4,003.34/x
  3. Step 3: Cross multiply
    7,147.76x = 9,863.25 × 4,003.34
  4. Step 4: Simplify right side
    7,147.76x = 39,485,943.26
  5. Step 5: Solve for x
    x = 39,485,943.26/7,147.76
  6. Step 6: Final answer
    x = 5,524.24

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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.