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Finding the Fourth Proportional to 8,404.98, 12,613.14 and 6,329.76

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Solution

The fourth proportional to 8,404.98, 12,613.14 and 6,329.76 is: 9,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.98 : 12,613.14 = 6,329.76 : x
  2. Step 2: Convert to fraction form
    8,404.98/12,613.14 = 6,329.76/x
  3. Step 3: Cross multiply
    8,404.98x = 12,613.14 × 6,329.76
  4. Step 4: Simplify right side
    8,404.98x = 79,838,149.05
  5. Step 5: Solve for x
    x = 79,838,149.05/8,404.98
  6. Step 6: Final answer
    x = 9,498.91

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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.