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Finding the Fourth Proportional to 6,425.02, 9,637.80 and 3,141.01

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Solution

The fourth proportional to 6,425.02, 9,637.80 and 3,141.01 is: 4,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.02 : 9,637.80 = 3,141.01 : x
  2. Step 2: Convert to fraction form
    6,425.02/9,637.80 = 3,141.01/x
  3. Step 3: Cross multiply
    6,425.02x = 9,637.80 × 3,141.01
  4. Step 4: Simplify right side
    6,425.02x = 30,272,426.18
  5. Step 5: Solve for x
    x = 30,272,426.18/6,425.02
  6. Step 6: Final answer
    x = 4,711.65

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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.