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Finding the Fourth Proportional to 6,254.17, 9,381.22 and 1,871.46

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Solution

The fourth proportional to 6,254.17, 9,381.22 and 1,871.46 is: 2,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.17 : 9,381.22 = 1,871.46 : x
  2. Step 2: Convert to fraction form
    6,254.17/9,381.22 = 1,871.46/x
  3. Step 3: Cross multiply
    6,254.17x = 9,381.22 × 1,871.46
  4. Step 4: Simplify right side
    6,254.17x = 17,556,573.30
  5. Step 5: Solve for x
    x = 17,556,573.30/6,254.17
  6. Step 6: Final answer
    x = 2,807.18

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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.