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Finding the Fourth Proportional to 8,854.14, 12,205.88 and 6,193.29

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Solution

The fourth proportional to 8,854.14, 12,205.88 and 6,193.29 is: 8,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854.14 : 12,205.88 = 6,193.29 : x
  2. Step 2: Convert to fraction form
    8,854.14/12,205.88 = 6,193.29/x
  3. Step 3: Cross multiply
    8,854.14x = 12,205.88 × 6,193.29
  4. Step 4: Simplify right side
    8,854.14x = 75,594,554.55
  5. Step 5: Solve for x
    x = 75,594,554.55/8,854.14
  6. Step 6: Final answer
    x = 8,537.76

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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.