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Finding the Fourth Proportional to 6,754.56, 9,323.52 and 3,960

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Solution

The fourth proportional to 6,754.56, 9,323.52 and 3,960 is: 5,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.56 : 9,323.52 = 3,960 : x
  2. Step 2: Convert to fraction form
    6,754.56/9,323.52 = 3,960/x
  3. Step 3: Cross multiply
    6,754.56x = 9,323.52 × 3,960
  4. Step 4: Simplify right side
    6,754.56x = 36,921,139.20
  5. Step 5: Solve for x
    x = 36,921,139.20/6,754.56
  6. Step 6: Final answer
    x = 5,466.11

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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.