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Finding the Fourth Proportional to 6,560.34, 9,846.20 and 3,442.55

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Solution

The fourth proportional to 6,560.34, 9,846.20 and 3,442.55 is: 5,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.34 : 9,846.20 = 3,442.55 : x
  2. Step 2: Convert to fraction form
    6,560.34/9,846.20 = 3,442.55/x
  3. Step 3: Cross multiply
    6,560.34x = 9,846.20 × 3,442.55
  4. Step 4: Simplify right side
    6,560.34x = 33,895,969.37
  5. Step 5: Solve for x
    x = 33,895,969.37/6,560.34
  6. Step 6: Final answer
    x = 5,166.80

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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.