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Finding the Fourth Proportional to 8,843.67, 12,206.43 and 5,306.13

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Solution

The fourth proportional to 8,843.67, 12,206.43 and 5,306.13 is: 7,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,843.67 : 12,206.43 = 5,306.13 : x
  2. Step 2: Convert to fraction form
    8,843.67/12,206.43 = 5,306.13/x
  3. Step 3: Cross multiply
    8,843.67x = 12,206.43 × 5,306.13
  4. Step 4: Simplify right side
    8,843.67x = 64,768,904.42
  5. Step 5: Solve for x
    x = 64,768,904.42/8,843.67
  6. Step 6: Final answer
    x = 7,323.76

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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.