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Finding the Fourth Proportional to 8,209.60, 12,306.30 and 4,046.20

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Solution

The fourth proportional to 8,209.60, 12,306.30 and 4,046.20 is: 6,065.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.60 : 12,306.30 = 4,046.20 : x
  2. Step 2: Convert to fraction form
    8,209.60/12,306.30 = 4,046.20/x
  3. Step 3: Cross multiply
    8,209.60x = 12,306.30 × 4,046.20
  4. Step 4: Simplify right side
    8,209.60x = 49,793,751.06
  5. Step 5: Solve for x
    x = 49,793,751.06/8,209.60
  6. Step 6: Final answer
    x = 6,065.31

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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.