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Finding the Fourth Proportional to 7,142.31, 9,856.20 and 3,955.77

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Solution

The fourth proportional to 7,142.31, 9,856.20 and 3,955.77 is: 5,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.31 : 9,856.20 = 3,955.77 : x
  2. Step 2: Convert to fraction form
    7,142.31/9,856.20 = 3,955.77/x
  3. Step 3: Cross multiply
    7,142.31x = 9,856.20 × 3,955.77
  4. Step 4: Simplify right side
    7,142.31x = 38,988,860.27
  5. Step 5: Solve for x
    x = 38,988,860.27/7,142.31
  6. Step 6: Final answer
    x = 5,458.86

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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.