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Finding the Fourth Proportional to 6,424.56, 9,637.20 and 2,264.76

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Solution

The fourth proportional to 6,424.56, 9,637.20 and 2,264.76 is: 3,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.56 : 9,637.20 = 2,264.76 : x
  2. Step 2: Convert to fraction form
    6,424.56/9,637.20 = 2,264.76/x
  3. Step 3: Cross multiply
    6,424.56x = 9,637.20 × 2,264.76
  4. Step 4: Simplify right side
    6,424.56x = 21,825,945.07
  5. Step 5: Solve for x
    x = 21,825,945.07/6,424.56
  6. Step 6: Final answer
    x = 3,397.27

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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.