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Finding the Fourth Proportional to 8,306.96, 12,439.93 and 6,442.54

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Solution

The fourth proportional to 8,306.96, 12,439.93 and 6,442.54 is: 9,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.96 : 12,439.93 = 6,442.54 : x
  2. Step 2: Convert to fraction form
    8,306.96/12,439.93 = 6,442.54/x
  3. Step 3: Cross multiply
    8,306.96x = 12,439.93 × 6,442.54
  4. Step 4: Simplify right side
    8,306.96x = 80,144,711.50
  5. Step 5: Solve for x
    x = 80,144,711.50/8,306.96
  6. Step 6: Final answer
    x = 9,647.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.