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Finding the Fourth Proportional to 9,282.71, 13,911.44 and 5,116.48

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Solution

The fourth proportional to 9,282.71, 13,911.44 and 5,116.48 is: 7,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.71 : 13,911.44 = 5,116.48 : x
  2. Step 2: Convert to fraction form
    9,282.71/13,911.44 = 5,116.48/x
  3. Step 3: Cross multiply
    9,282.71x = 13,911.44 × 5,116.48
  4. Step 4: Simplify right side
    9,282.71x = 71,177,544.17
  5. Step 5: Solve for x
    x = 71,177,544.17/9,282.71
  6. Step 6: Final answer
    x = 7,667.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.