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Finding the Fourth Proportional to 6,425.15, 9,637.99 and 3,141

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Solution

The fourth proportional to 6,425.15, 9,637.99 and 3,141 is: 4,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.15 : 9,637.99 = 3,141 : x
  2. Step 2: Convert to fraction form
    6,425.15/9,637.99 = 3,141/x
  3. Step 3: Cross multiply
    6,425.15x = 9,637.99 × 3,141
  4. Step 4: Simplify right side
    6,425.15x = 30,272,918.74
  5. Step 5: Solve for x
    x = 30,272,918.74/6,425.15
  6. Step 6: Final answer
    x = 4,711.63

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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.