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Finding the Fourth Proportional to 6,426.42, 8,869.41 and 4,068.78

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Solution

The fourth proportional to 6,426.42, 8,869.41 and 4,068.78 is: 5,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.42 : 8,869.41 = 4,068.78 : x
  2. Step 2: Convert to fraction form
    6,426.42/8,869.41 = 4,068.78/x
  3. Step 3: Cross multiply
    6,426.42x = 8,869.41 × 4,068.78
  4. Step 4: Simplify right side
    6,426.42x = 36,087,678.02
  5. Step 5: Solve for x
    x = 36,087,678.02/6,426.42
  6. Step 6: Final answer
    x = 5,615.52

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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.