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Finding the Fourth Proportional to 8,294.04, 12,423.78 and 6,438.60

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Solution

The fourth proportional to 8,294.04, 12,423.78 and 6,438.60 is: 9,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.04 : 12,423.78 = 6,438.60 : x
  2. Step 2: Convert to fraction form
    8,294.04/12,423.78 = 6,438.60/x
  3. Step 3: Cross multiply
    8,294.04x = 12,423.78 × 6,438.60
  4. Step 4: Simplify right side
    8,294.04x = 79,991,749.91
  5. Step 5: Solve for x
    x = 79,991,749.91/8,294.04
  6. Step 6: Final answer
    x = 9,644.49

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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.