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Finding the Fourth Proportional to 6,275.97, 9,405.74 and 2,573.87

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Solution

The fourth proportional to 6,275.97, 9,405.74 and 2,573.87 is: 3,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.97 : 9,405.74 = 2,573.87 : x
  2. Step 2: Convert to fraction form
    6,275.97/9,405.74 = 2,573.87/x
  3. Step 3: Cross multiply
    6,275.97x = 9,405.74 × 2,573.87
  4. Step 4: Simplify right side
    6,275.97x = 24,209,092.12
  5. Step 5: Solve for x
    x = 24,209,092.12/6,275.97
  6. Step 6: Final answer
    x = 3,857.43

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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.