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Finding the Fourth Proportional to 8,195.46, 12,267.60 and 6,103.20

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Solution

The fourth proportional to 8,195.46, 12,267.60 and 6,103.20 is: 9,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.46 : 12,267.60 = 6,103.20 : x
  2. Step 2: Convert to fraction form
    8,195.46/12,267.60 = 6,103.20/x
  3. Step 3: Cross multiply
    8,195.46x = 12,267.60 × 6,103.20
  4. Step 4: Simplify right side
    8,195.46x = 74,871,616.32
  5. Step 5: Solve for x
    x = 74,871,616.32/8,195.46
  6. Step 6: Final answer
    x = 9,135.74

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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.