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Finding the Fourth Proportional to 9,588.09, 13,230.42 and 5,338.09

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Solution

The fourth proportional to 9,588.09, 13,230.42 and 5,338.09 is: 7,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.09 : 13,230.42 = 5,338.09 : x
  2. Step 2: Convert to fraction form
    9,588.09/13,230.42 = 5,338.09/x
  3. Step 3: Cross multiply
    9,588.09x = 13,230.42 × 5,338.09
  4. Step 4: Simplify right side
    9,588.09x = 70,625,169.22
  5. Step 5: Solve for x
    x = 70,625,169.22/9,588.09
  6. Step 6: Final answer
    x = 7,365.92

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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.