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Finding the Fourth Proportional to 9,091.74, 13,585.82 and 6,825.50

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Solution

The fourth proportional to 9,091.74, 13,585.82 and 6,825.50 is: 10,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.74 : 13,585.82 = 6,825.50 : x
  2. Step 2: Convert to fraction form
    9,091.74/13,585.82 = 6,825.50/x
  3. Step 3: Cross multiply
    9,091.74x = 13,585.82 × 6,825.50
  4. Step 4: Simplify right side
    9,091.74x = 92,729,912.35
  5. Step 5: Solve for x
    x = 92,729,912.35/9,091.74
  6. Step 6: Final answer
    x = 10,199.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.