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Finding the Fourth Proportional to 9,719.92, 13,414.17 and 5,528.17

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Solution

The fourth proportional to 9,719.92, 13,414.17 and 5,528.17 is: 7,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.92 : 13,414.17 = 5,528.17 : x
  2. Step 2: Convert to fraction form
    9,719.92/13,414.17 = 5,528.17/x
  3. Step 3: Cross multiply
    9,719.92x = 13,414.17 × 5,528.17
  4. Step 4: Simplify right side
    9,719.92x = 74,155,812.17
  5. Step 5: Solve for x
    x = 74,155,812.17/9,719.92
  6. Step 6: Final answer
    x = 7,629.26

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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.