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Finding the Fourth Proportional to 6,414.84, 9,615.06 and 4,197.92

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Solution

The fourth proportional to 6,414.84, 9,615.06 and 4,197.92 is: 6,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.84 : 9,615.06 = 4,197.92 : x
  2. Step 2: Convert to fraction form
    6,414.84/9,615.06 = 4,197.92/x
  3. Step 3: Cross multiply
    6,414.84x = 9,615.06 × 4,197.92
  4. Step 4: Simplify right side
    6,414.84x = 40,363,252.68
  5. Step 5: Solve for x
    x = 40,363,252.68/6,414.84
  6. Step 6: Final answer
    x = 6,292.17

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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.