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Finding the Fourth Proportional to 6,669.43, 9,983.17 and 4,577.20

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Solution

The fourth proportional to 6,669.43, 9,983.17 and 4,577.20 is: 6,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.43 : 9,983.17 = 4,577.20 : x
  2. Step 2: Convert to fraction form
    6,669.43/9,983.17 = 4,577.20/x
  3. Step 3: Cross multiply
    6,669.43x = 9,983.17 × 4,577.20
  4. Step 4: Simplify right side
    6,669.43x = 45,694,965.72
  5. Step 5: Solve for x
    x = 45,694,965.72/6,669.43
  6. Step 6: Final answer
    x = 6,851.40

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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.