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Finding the Fourth Proportional to 6,193.53, 9,290.43 and 2,445.21

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Solution

The fourth proportional to 6,193.53, 9,290.43 and 2,445.21 is: 3,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.53 : 9,290.43 = 2,445.21 : x
  2. Step 2: Convert to fraction form
    6,193.53/9,290.43 = 2,445.21/x
  3. Step 3: Cross multiply
    6,193.53x = 9,290.43 × 2,445.21
  4. Step 4: Simplify right side
    6,193.53x = 22,717,052.34
  5. Step 5: Solve for x
    x = 22,717,052.34/6,193.53
  6. Step 6: Final answer
    x = 3,667.87

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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.