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Finding the Fourth Proportional to 6,259.11, 9,387.95 and 1,642.47

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Solution

The fourth proportional to 6,259.11, 9,387.95 and 1,642.47 is: 2,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.11 : 9,387.95 = 1,642.47 : x
  2. Step 2: Convert to fraction form
    6,259.11/9,387.95 = 1,642.47/x
  3. Step 3: Cross multiply
    6,259.11x = 9,387.95 × 1,642.47
  4. Step 4: Simplify right side
    6,259.11x = 15,419,418.02
  5. Step 5: Solve for x
    x = 15,419,418.02/6,259.11
  6. Step 6: Final answer
    x = 2,463.52

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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.