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Finding the Fourth Proportional to 6,424.48, 9,634.56 and 2,264.32

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Solution

The fourth proportional to 6,424.48, 9,634.56 and 2,264.32 is: 3,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.48 : 9,634.56 = 2,264.32 : x
  2. Step 2: Convert to fraction form
    6,424.48/9,634.56 = 2,264.32/x
  3. Step 3: Cross multiply
    6,424.48x = 9,634.56 × 2,264.32
  4. Step 4: Simplify right side
    6,424.48x = 21,815,726.90
  5. Step 5: Solve for x
    x = 21,815,726.90/6,424.48
  6. Step 6: Final answer
    x = 3,395.72

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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.