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Finding the Fourth Proportional to 6,442.97, 9,660.73 and 3,437.30

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Solution

The fourth proportional to 6,442.97, 9,660.73 and 3,437.30 is: 5,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.97 : 9,660.73 = 3,437.30 : x
  2. Step 2: Convert to fraction form
    6,442.97/9,660.73 = 3,437.30/x
  3. Step 3: Cross multiply
    6,442.97x = 9,660.73 × 3,437.30
  4. Step 4: Simplify right side
    6,442.97x = 33,206,827.23
  5. Step 5: Solve for x
    x = 33,206,827.23/6,442.97
  6. Step 6: Final answer
    x = 5,153.96

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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.