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Finding the Fourth Proportional to 8,217.30, 12,304.08 and 6,420.45

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Solution

The fourth proportional to 8,217.30, 12,304.08 and 6,420.45 is: 9,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.30 : 12,304.08 = 6,420.45 : x
  2. Step 2: Convert to fraction form
    8,217.30/12,304.08 = 6,420.45/x
  3. Step 3: Cross multiply
    8,217.30x = 12,304.08 × 6,420.45
  4. Step 4: Simplify right side
    8,217.30x = 78,997,730.44
  5. Step 5: Solve for x
    x = 78,997,730.44/8,217.30
  6. Step 6: Final answer
    x = 9,613.59

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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.