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Finding the Fourth Proportional to 6,810.50, 9,397.46 and 3,825.76

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Solution

The fourth proportional to 6,810.50, 9,397.46 and 3,825.76 is: 5,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.50 : 9,397.46 = 3,825.76 : x
  2. Step 2: Convert to fraction form
    6,810.50/9,397.46 = 3,825.76/x
  3. Step 3: Cross multiply
    6,810.50x = 9,397.46 × 3,825.76
  4. Step 4: Simplify right side
    6,810.50x = 35,952,412.64
  5. Step 5: Solve for x
    x = 35,952,412.64/6,810.50
  6. Step 6: Final answer
    x = 5,278.97

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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.