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Finding the Fourth Proportional to 6,254.43, 9,381.32 and 1,574.44

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Solution

The fourth proportional to 6,254.43, 9,381.32 and 1,574.44 is: 2,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.43 : 9,381.32 = 1,574.44 : x
  2. Step 2: Convert to fraction form
    6,254.43/9,381.32 = 1,574.44/x
  3. Step 3: Cross multiply
    6,254.43x = 9,381.32 × 1,574.44
  4. Step 4: Simplify right side
    6,254.43x = 14,770,329.72
  5. Step 5: Solve for x
    x = 14,770,329.72/6,254.43
  6. Step 6: Final answer
    x = 2,361.58

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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.