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Finding the Fourth Proportional to 6,279.01, 9,421.57 and 2,582.35

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Solution

The fourth proportional to 6,279.01, 9,421.57 and 2,582.35 is: 3,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.01 : 9,421.57 = 2,582.35 : x
  2. Step 2: Convert to fraction form
    6,279.01/9,421.57 = 2,582.35/x
  3. Step 3: Cross multiply
    6,279.01x = 9,421.57 × 2,582.35
  4. Step 4: Simplify right side
    6,279.01x = 24,329,737.73
  5. Step 5: Solve for x
    x = 24,329,737.73/6,279.01
  6. Step 6: Final answer
    x = 3,874.78

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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.