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Finding the Fourth Proportional to 9,608.31, 13,265.52 and 7,365.96

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Solution

The fourth proportional to 9,608.31, 13,265.52 and 7,365.96 is: 10,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.31 : 13,265.52 = 7,365.96 : x
  2. Step 2: Convert to fraction form
    9,608.31/13,265.52 = 7,365.96/x
  3. Step 3: Cross multiply
    9,608.31x = 13,265.52 × 7,365.96
  4. Step 4: Simplify right side
    9,608.31x = 97,713,289.70
  5. Step 5: Solve for x
    x = 97,713,289.70/9,608.31
  6. Step 6: Final answer
    x = 10,169.66

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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.