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Finding the Fourth Proportional to 7,143.78, 9,857.25 and 4,489.31

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Solution

The fourth proportional to 7,143.78, 9,857.25 and 4,489.31 is: 6,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.78 : 9,857.25 = 4,489.31 : x
  2. Step 2: Convert to fraction form
    7,143.78/9,857.25 = 4,489.31/x
  3. Step 3: Cross multiply
    7,143.78x = 9,857.25 × 4,489.31
  4. Step 4: Simplify right side
    7,143.78x = 44,252,275.64
  5. Step 5: Solve for x
    x = 44,252,275.64/7,143.78
  6. Step 6: Final answer
    x = 6,194.52

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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.