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Finding the Fourth Proportional to 9,588.81, 13,233.78 and 5,397.87

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Solution

The fourth proportional to 9,588.81, 13,233.78 and 5,397.87 is: 7,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.81 : 13,233.78 = 5,397.87 : x
  2. Step 2: Convert to fraction form
    9,588.81/13,233.78 = 5,397.87/x
  3. Step 3: Cross multiply
    9,588.81x = 13,233.78 × 5,397.87
  4. Step 4: Simplify right side
    9,588.81x = 71,434,224.05
  5. Step 5: Solve for x
    x = 71,434,224.05/9,588.81
  6. Step 6: Final answer
    x = 7,449.75

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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.