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Finding the Fourth Proportional to 6,560.97, 9,832.64 and 3,594.95

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Solution

The fourth proportional to 6,560.97, 9,832.64 and 3,594.95 is: 5,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.97 : 9,832.64 = 3,594.95 : x
  2. Step 2: Convert to fraction form
    6,560.97/9,832.64 = 3,594.95/x
  3. Step 3: Cross multiply
    6,560.97x = 9,832.64 × 3,594.95
  4. Step 4: Simplify right side
    6,560.97x = 35,347,782.03
  5. Step 5: Solve for x
    x = 35,347,782.03/6,560.97
  6. Step 6: Final answer
    x = 5,387.59

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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.