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Finding the Fourth Proportional to 9,593.68, 13,238.37 and 7,077.15

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Solution

The fourth proportional to 9,593.68, 13,238.37 and 7,077.15 is: 9,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.68 : 13,238.37 = 7,077.15 : x
  2. Step 2: Convert to fraction form
    9,593.68/13,238.37 = 7,077.15/x
  3. Step 3: Cross multiply
    9,593.68x = 13,238.37 × 7,077.15
  4. Step 4: Simplify right side
    9,593.68x = 93,689,930.25
  5. Step 5: Solve for x
    x = 93,689,930.25/9,593.68
  6. Step 6: Final answer
    x = 9,765.80

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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.