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Finding the Fourth Proportional to 6,810.46, 9,397.68 and 3,825.60

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Solution

The fourth proportional to 6,810.46, 9,397.68 and 3,825.60 is: 5,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.46 : 9,397.68 = 3,825.60 : x
  2. Step 2: Convert to fraction form
    6,810.46/9,397.68 = 3,825.60/x
  3. Step 3: Cross multiply
    6,810.46x = 9,397.68 × 3,825.60
  4. Step 4: Simplify right side
    6,810.46x = 35,951,764.61
  5. Step 5: Solve for x
    x = 35,951,764.61/6,810.46
  6. Step 6: Final answer
    x = 5,278.90

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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.