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Finding the Fourth Proportional to 8,196.46, 12,269.10 and 6,104.20

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Solution

The fourth proportional to 8,196.46, 12,269.10 and 6,104.20 is: 9,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.46 : 12,269.10 = 6,104.20 : x
  2. Step 2: Convert to fraction form
    8,196.46/12,269.10 = 6,104.20/x
  3. Step 3: Cross multiply
    8,196.46x = 12,269.10 × 6,104.20
  4. Step 4: Simplify right side
    8,196.46x = 74,893,040.22
  5. Step 5: Solve for x
    x = 74,893,040.22/8,196.46
  6. Step 6: Final answer
    x = 9,137.24

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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.