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Finding the Fourth Proportional to 6,363.42, 9,537.72 and 2,412.18

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Solution

The fourth proportional to 6,363.42, 9,537.72 and 2,412.18 is: 3,615.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.42 : 9,537.72 = 2,412.18 : x
  2. Step 2: Convert to fraction form
    6,363.42/9,537.72 = 2,412.18/x
  3. Step 3: Cross multiply
    6,363.42x = 9,537.72 × 2,412.18
  4. Step 4: Simplify right side
    6,363.42x = 23,006,697.43
  5. Step 5: Solve for x
    x = 23,006,697.43/6,363.42
  6. Step 6: Final answer
    x = 3,615.46

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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.