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Finding the Fourth Proportional to 6,797.32, 9,373.42 and 5,677.80

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Solution

The fourth proportional to 6,797.32, 9,373.42 and 5,677.80 is: 7,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.32 : 9,373.42 = 5,677.80 : x
  2. Step 2: Convert to fraction form
    6,797.32/9,373.42 = 5,677.80/x
  3. Step 3: Cross multiply
    6,797.32x = 9,373.42 × 5,677.80
  4. Step 4: Simplify right side
    6,797.32x = 53,220,376.02
  5. Step 5: Solve for x
    x = 53,220,376.02/6,797.32
  6. Step 6: Final answer
    x = 7,829.61

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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.