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Finding the Fourth Proportional to 6,754.68, 9,319.80 and 4,238.04

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Solution

The fourth proportional to 6,754.68, 9,319.80 and 4,238.04 is: 5,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.68 : 9,319.80 = 4,238.04 : x
  2. Step 2: Convert to fraction form
    6,754.68/9,319.80 = 4,238.04/x
  3. Step 3: Cross multiply
    6,754.68x = 9,319.80 × 4,238.04
  4. Step 4: Simplify right side
    6,754.68x = 39,497,685.19
  5. Step 5: Solve for x
    x = 39,497,685.19/6,754.68
  6. Step 6: Final answer
    x = 5,847.45

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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.