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Finding the Fourth Proportional to 6,862.88, 10,274.71 and 6,426.94

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Solution

The fourth proportional to 6,862.88, 10,274.71 and 6,426.94 is: 9,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.88 : 10,274.71 = 6,426.94 : x
  2. Step 2: Convert to fraction form
    6,862.88/10,274.71 = 6,426.94/x
  3. Step 3: Cross multiply
    6,862.88x = 10,274.71 × 6,426.94
  4. Step 4: Simplify right side
    6,862.88x = 66,034,861.18
  5. Step 5: Solve for x
    x = 66,034,861.18/6,862.88
  6. Step 6: Final answer
    x = 9,622.04

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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.