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Finding the Fourth Proportional to 9,974.30, 13,763.99 and 5,497.16

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Solution

The fourth proportional to 9,974.30, 13,763.99 and 5,497.16 is: 7,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.30 : 13,763.99 = 5,497.16 : x
  2. Step 2: Convert to fraction form
    9,974.30/13,763.99 = 5,497.16/x
  3. Step 3: Cross multiply
    9,974.30x = 13,763.99 × 5,497.16
  4. Step 4: Simplify right side
    9,974.30x = 75,662,800.19
  5. Step 5: Solve for x
    x = 75,662,800.19/9,974.30
  6. Step 6: Final answer
    x = 7,585.78

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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.