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Finding the Fourth Proportional to 6,938.60, 9,575.42 and 3,954.15

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Solution

The fourth proportional to 6,938.60, 9,575.42 and 3,954.15 is: 5,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.60 : 9,575.42 = 3,954.15 : x
  2. Step 2: Convert to fraction form
    6,938.60/9,575.42 = 3,954.15/x
  3. Step 3: Cross multiply
    6,938.60x = 9,575.42 × 3,954.15
  4. Step 4: Simplify right side
    6,938.60x = 37,862,627.22
  5. Step 5: Solve for x
    x = 37,862,627.22/6,938.60
  6. Step 6: Final answer
    x = 5,456.81

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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.