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Finding the Fourth Proportional to 8,269.49, 12,405.77 and 3,886.95

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Solution

The fourth proportional to 8,269.49, 12,405.77 and 3,886.95 is: 5,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.49 : 12,405.77 = 3,886.95 : x
  2. Step 2: Convert to fraction form
    8,269.49/12,405.77 = 3,886.95/x
  3. Step 3: Cross multiply
    8,269.49x = 12,405.77 × 3,886.95
  4. Step 4: Simplify right side
    8,269.49x = 48,220,545.67
  5. Step 5: Solve for x
    x = 48,220,545.67/8,269.49
  6. Step 6: Final answer
    x = 5,831.14

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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.