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Finding the Fourth Proportional to 8,854.65, 12,206.58 and 6,193.80

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Solution

The fourth proportional to 8,854.65, 12,206.58 and 6,193.80 is: 8,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854.65 : 12,206.58 = 6,193.80 : x
  2. Step 2: Convert to fraction form
    8,854.65/12,206.58 = 6,193.80/x
  3. Step 3: Cross multiply
    8,854.65x = 12,206.58 × 6,193.80
  4. Step 4: Simplify right side
    8,854.65x = 75,605,115.20
  5. Step 5: Solve for x
    x = 75,605,115.20/8,854.65
  6. Step 6: Final answer
    x = 8,538.46

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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.