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Finding the Fourth Proportional to 6,637.97, 9,957.87 and 2,254.25

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Solution

The fourth proportional to 6,637.97, 9,957.87 and 2,254.25 is: 3,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.97 : 9,957.87 = 2,254.25 : x
  2. Step 2: Convert to fraction form
    6,637.97/9,957.87 = 2,254.25/x
  3. Step 3: Cross multiply
    6,637.97x = 9,957.87 × 2,254.25
  4. Step 4: Simplify right side
    6,637.97x = 22,447,528.45
  5. Step 5: Solve for x
    x = 22,447,528.45/6,637.97
  6. Step 6: Final answer
    x = 3,381.69

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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.