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Finding the Fourth Proportional to 6,734.88, 9,296.24 and 5,474.93

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Solution

The fourth proportional to 6,734.88, 9,296.24 and 5,474.93 is: 7,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.88 : 9,296.24 = 5,474.93 : x
  2. Step 2: Convert to fraction form
    6,734.88/9,296.24 = 5,474.93/x
  3. Step 3: Cross multiply
    6,734.88x = 9,296.24 × 5,474.93
  4. Step 4: Simplify right side
    6,734.88x = 50,896,189.41
  5. Step 5: Solve for x
    x = 50,896,189.41/6,734.88
  6. Step 6: Final answer
    x = 7,557.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.