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Finding the Fourth Proportional to 9,608.31, 13,257.95 and 5,415.75

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Solution

The fourth proportional to 9,608.31, 13,257.95 and 5,415.75 is: 7,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.31 : 13,257.95 = 5,415.75 : x
  2. Step 2: Convert to fraction form
    9,608.31/13,257.95 = 5,415.75/x
  3. Step 3: Cross multiply
    9,608.31x = 13,257.95 × 5,415.75
  4. Step 4: Simplify right side
    9,608.31x = 71,801,715.63
  5. Step 5: Solve for x
    x = 71,801,715.63/9,608.31
  6. Step 6: Final answer
    x = 7,472.88

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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.