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Finding the Fourth Proportional to 9,690.90, 13,371.83 and 5,711.48

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Solution

The fourth proportional to 9,690.90, 13,371.83 and 5,711.48 is: 7,880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.90 : 13,371.83 = 5,711.48 : x
  2. Step 2: Convert to fraction form
    9,690.90/13,371.83 = 5,711.48/x
  3. Step 3: Cross multiply
    9,690.90x = 13,371.83 × 5,711.48
  4. Step 4: Simplify right side
    9,690.90x = 76,372,844.19
  5. Step 5: Solve for x
    x = 76,372,844.19/9,690.90
  6. Step 6: Final answer
    x = 7,880.88

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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.