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Finding the Fourth Proportional to 6,817.92, 9,412.80 and 5,242.88

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Solution

The fourth proportional to 6,817.92, 9,412.80 and 5,242.88 is: 7,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.92 : 9,412.80 = 5,242.88 : x
  2. Step 2: Convert to fraction form
    6,817.92/9,412.80 = 5,242.88/x
  3. Step 3: Cross multiply
    6,817.92x = 9,412.80 × 5,242.88
  4. Step 4: Simplify right side
    6,817.92x = 49,350,180.86
  5. Step 5: Solve for x
    x = 49,350,180.86/6,817.92
  6. Step 6: Final answer
    x = 7,238.30

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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.