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Finding the Fourth Proportional to 8,078.60, 12,117.90 and 6,134.60

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Solution

The fourth proportional to 8,078.60, 12,117.90 and 6,134.60 is: 9,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.60 : 12,117.90 = 6,134.60 : x
  2. Step 2: Convert to fraction form
    8,078.60/12,117.90 = 6,134.60/x
  3. Step 3: Cross multiply
    8,078.60x = 12,117.90 × 6,134.60
  4. Step 4: Simplify right side
    8,078.60x = 74,338,469.34
  5. Step 5: Solve for x
    x = 74,338,469.34/8,078.60
  6. Step 6: Final answer
    x = 9,201.90

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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.