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Finding the Fourth Proportional to 9,586.33, 13,229.03 and 5,337.33

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Solution

The fourth proportional to 9,586.33, 13,229.03 and 5,337.33 is: 7,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.33 : 13,229.03 = 5,337.33 : x
  2. Step 2: Convert to fraction form
    9,586.33/13,229.03 = 5,337.33/x
  3. Step 3: Cross multiply
    9,586.33x = 13,229.03 × 5,337.33
  4. Step 4: Simplify right side
    9,586.33x = 70,607,632.54
  5. Step 5: Solve for x
    x = 70,607,632.54/9,586.33
  6. Step 6: Final answer
    x = 7,365.45

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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.