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Finding the Fourth Proportional to 6,381.60, 9,570.91 and 2,433.30

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Solution

The fourth proportional to 6,381.60, 9,570.91 and 2,433.30 is: 3,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.60 : 9,570.91 = 2,433.30 : x
  2. Step 2: Convert to fraction form
    6,381.60/9,570.91 = 2,433.30/x
  3. Step 3: Cross multiply
    6,381.60x = 9,570.91 × 2,433.30
  4. Step 4: Simplify right side
    6,381.60x = 23,288,895.30
  5. Step 5: Solve for x
    x = 23,288,895.30/6,381.60
  6. Step 6: Final answer
    x = 3,649.38

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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.