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Finding the Fourth Proportional to 6,825.89, 9,414.90 and 6,597.27

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Solution

The fourth proportional to 6,825.89, 9,414.90 and 6,597.27 is: 9,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.89 : 9,414.90 = 6,597.27 : x
  2. Step 2: Convert to fraction form
    6,825.89/9,414.90 = 6,597.27/x
  3. Step 3: Cross multiply
    6,825.89x = 9,414.90 × 6,597.27
  4. Step 4: Simplify right side
    6,825.89x = 62,112,637.32
  5. Step 5: Solve for x
    x = 62,112,637.32/6,825.89
  6. Step 6: Final answer
    x = 9,099.56

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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.