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Finding the Fourth Proportional to 6,426.88, 9,640.14 and 2,044.60

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Solution

The fourth proportional to 6,426.88, 9,640.14 and 2,044.60 is: 3,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.88 : 9,640.14 = 2,044.60 : x
  2. Step 2: Convert to fraction form
    6,426.88/9,640.14 = 2,044.60/x
  3. Step 3: Cross multiply
    6,426.88x = 9,640.14 × 2,044.60
  4. Step 4: Simplify right side
    6,426.88x = 19,710,230.24
  5. Step 5: Solve for x
    x = 19,710,230.24/6,426.88
  6. Step 6: Final answer
    x = 3,066.84

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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.