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Finding the Fourth Proportional to 8,394.17, 12,574.83 and 6,436.81

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Solution

The fourth proportional to 8,394.17, 12,574.83 and 6,436.81 is: 9,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.17 : 12,574.83 = 6,436.81 : x
  2. Step 2: Convert to fraction form
    8,394.17/12,574.83 = 6,436.81/x
  3. Step 3: Cross multiply
    8,394.17x = 12,574.83 × 6,436.81
  4. Step 4: Simplify right side
    8,394.17x = 80,941,728.62
  5. Step 5: Solve for x
    x = 80,941,728.62/8,394.17
  6. Step 6: Final answer
    x = 9,642.61

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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.