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Finding the Fourth Proportional to 8,613.02, 12,894.45 and 6,401.66

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Solution

The fourth proportional to 8,613.02, 12,894.45 and 6,401.66 is: 9,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.02 : 12,894.45 = 6,401.66 : x
  2. Step 2: Convert to fraction form
    8,613.02/12,894.45 = 6,401.66/x
  3. Step 3: Cross multiply
    8,613.02x = 12,894.45 × 6,401.66
  4. Step 4: Simplify right side
    8,613.02x = 82,545,877.59
  5. Step 5: Solve for x
    x = 82,545,877.59/8,613.02
  6. Step 6: Final answer
    x = 9,583.85

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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.