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Finding the Fourth Proportional to 9,414.81, 12,986.79 and 6,228.18

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Solution

The fourth proportional to 9,414.81, 12,986.79 and 6,228.18 is: 8,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.81 : 12,986.79 = 6,228.18 : x
  2. Step 2: Convert to fraction form
    9,414.81/12,986.79 = 6,228.18/x
  3. Step 3: Cross multiply
    9,414.81x = 12,986.79 × 6,228.18
  4. Step 4: Simplify right side
    9,414.81x = 80,884,065.74
  5. Step 5: Solve for x
    x = 80,884,065.74/9,414.81
  6. Step 6: Final answer
    x = 8,591.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.