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Finding the Fourth Proportional to 7,134.88, 9,845.94 and 3,948.30

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Solution

The fourth proportional to 7,134.88, 9,845.94 and 3,948.30 is: 5,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.88 : 9,845.94 = 3,948.30 : x
  2. Step 2: Convert to fraction form
    7,134.88/9,845.94 = 3,948.30/x
  3. Step 3: Cross multiply
    7,134.88x = 9,845.94 × 3,948.30
  4. Step 4: Simplify right side
    7,134.88x = 38,874,724.90
  5. Step 5: Solve for x
    x = 38,874,724.90/7,134.88
  6. Step 6: Final answer
    x = 5,448.55

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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.