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Finding the Fourth Proportional to 6,560.89, 9,841.47 and 2,662.63

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Solution

The fourth proportional to 6,560.89, 9,841.47 and 2,662.63 is: 3,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.89 : 9,841.47 = 2,662.63 : x
  2. Step 2: Convert to fraction form
    6,560.89/9,841.47 = 2,662.63/x
  3. Step 3: Cross multiply
    6,560.89x = 9,841.47 × 2,662.63
  4. Step 4: Simplify right side
    6,560.89x = 26,204,193.27
  5. Step 5: Solve for x
    x = 26,204,193.27/6,560.89
  6. Step 6: Final answer
    x = 3,994.00

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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.