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Finding the Fourth Proportional to 6,139.60, 9,199.80 and 5,160.40

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Solution

The fourth proportional to 6,139.60, 9,199.80 and 5,160.40 is: 7,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.60 : 9,199.80 = 5,160.40 : x
  2. Step 2: Convert to fraction form
    6,139.60/9,199.80 = 5,160.40/x
  3. Step 3: Cross multiply
    6,139.60x = 9,199.80 × 5,160.40
  4. Step 4: Simplify right side
    6,139.60x = 47,474,647.92
  5. Step 5: Solve for x
    x = 47,474,647.92/6,139.60
  6. Step 6: Final answer
    x = 7,732.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.