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Finding the Fourth Proportional to 9,034.40, 13,546.78 and 4,589.33

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Solution

The fourth proportional to 9,034.40, 13,546.78 and 4,589.33 is: 6,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.40 : 13,546.78 = 4,589.33 : x
  2. Step 2: Convert to fraction form
    9,034.40/13,546.78 = 4,589.33/x
  3. Step 3: Cross multiply
    9,034.40x = 13,546.78 × 4,589.33
  4. Step 4: Simplify right side
    9,034.40x = 62,170,564.65
  5. Step 5: Solve for x
    x = 62,170,564.65/9,034.40
  6. Step 6: Final answer
    x = 6,881.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.