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Finding the Fourth Proportional to 6,381.96, 9,572.43 and 4,035.12

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Solution

The fourth proportional to 6,381.96, 9,572.43 and 4,035.12 is: 6,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.96 : 9,572.43 = 4,035.12 : x
  2. Step 2: Convert to fraction form
    6,381.96/9,572.43 = 4,035.12/x
  3. Step 3: Cross multiply
    6,381.96x = 9,572.43 × 4,035.12
  4. Step 4: Simplify right side
    6,381.96x = 38,625,903.74
  5. Step 5: Solve for x
    x = 38,625,903.74/6,381.96
  6. Step 6: Final answer
    x = 6,052.36

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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.