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Finding the Fourth Proportional to 8,462.44, 12,693.66 and 2,306.44

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Solution

The fourth proportional to 8,462.44, 12,693.66 and 2,306.44 is: 3,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.44 : 12,693.66 = 2,306.44 : x
  2. Step 2: Convert to fraction form
    8,462.44/12,693.66 = 2,306.44/x
  3. Step 3: Cross multiply
    8,462.44x = 12,693.66 × 2,306.44
  4. Step 4: Simplify right side
    8,462.44x = 29,277,133.44
  5. Step 5: Solve for x
    x = 29,277,133.44/8,462.44
  6. Step 6: Final answer
    x = 3,459.66

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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.