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Finding the Fourth Proportional to 9,517.84, 13,135.44 and 5,326

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Solution

The fourth proportional to 9,517.84, 13,135.44 and 5,326 is: 7,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.84 : 13,135.44 = 5,326 : x
  2. Step 2: Convert to fraction form
    9,517.84/13,135.44 = 5,326/x
  3. Step 3: Cross multiply
    9,517.84x = 13,135.44 × 5,326
  4. Step 4: Simplify right side
    9,517.84x = 69,959,353.44
  5. Step 5: Solve for x
    x = 69,959,353.44/9,517.84
  6. Step 6: Final answer
    x = 7,350.34

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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.