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Finding the Fourth Proportional to 9,719.28, 13,414.50 and 5,740.20

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Solution

The fourth proportional to 9,719.28, 13,414.50 and 5,740.20 is: 7,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.28 : 13,414.50 = 5,740.20 : x
  2. Step 2: Convert to fraction form
    9,719.28/13,414.50 = 5,740.20/x
  3. Step 3: Cross multiply
    9,719.28x = 13,414.50 × 5,740.20
  4. Step 4: Simplify right side
    9,719.28x = 77,001,912.90
  5. Step 5: Solve for x
    x = 77,001,912.90/9,719.28
  6. Step 6: Final answer
    x = 7,922.59

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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.