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Finding the Fourth Proportional to 9,899.25, 13,660.97 and 5,423.17

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Solution

The fourth proportional to 9,899.25, 13,660.97 and 5,423.17 is: 7,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.25 : 13,660.97 = 5,423.17 : x
  2. Step 2: Convert to fraction form
    9,899.25/13,660.97 = 5,423.17/x
  3. Step 3: Cross multiply
    9,899.25x = 13,660.97 × 5,423.17
  4. Step 4: Simplify right side
    9,899.25x = 74,085,667.25
  5. Step 5: Solve for x
    x = 74,085,667.25/9,899.25
  6. Step 6: Final answer
    x = 7,483.97

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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.