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Finding the Fourth Proportional to 6,427.49, 9,642.76 and 2,044.95

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Solution

The fourth proportional to 6,427.49, 9,642.76 and 2,044.95 is: 3,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.49 : 9,642.76 = 2,044.95 : x
  2. Step 2: Convert to fraction form
    6,427.49/9,642.76 = 2,044.95/x
  3. Step 3: Cross multiply
    6,427.49x = 9,642.76 × 2,044.95
  4. Step 4: Simplify right side
    6,427.49x = 19,718,962.06
  5. Step 5: Solve for x
    x = 19,718,962.06/6,427.49
  6. Step 6: Final answer
    x = 3,067.91

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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.