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Finding the Fourth Proportional to 6,425.37, 9,637.05 and 2,042.25

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Solution

The fourth proportional to 6,425.37, 9,637.05 and 2,042.25 is: 3,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.37 : 9,637.05 = 2,042.25 : x
  2. Step 2: Convert to fraction form
    6,425.37/9,637.05 = 2,042.25/x
  3. Step 3: Cross multiply
    6,425.37x = 9,637.05 × 2,042.25
  4. Step 4: Simplify right side
    6,425.37x = 19,681,265.36
  5. Step 5: Solve for x
    x = 19,681,265.36/6,425.37
  6. Step 6: Final answer
    x = 3,063.06

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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.