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Finding the Fourth Proportional to 9,232.36, 13,853.14 and 3,696.48

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Solution

The fourth proportional to 9,232.36, 13,853.14 and 3,696.48 is: 5,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.36 : 13,853.14 = 3,696.48 : x
  2. Step 2: Convert to fraction form
    9,232.36/13,853.14 = 3,696.48/x
  3. Step 3: Cross multiply
    9,232.36x = 13,853.14 × 3,696.48
  4. Step 4: Simplify right side
    9,232.36x = 51,207,854.95
  5. Step 5: Solve for x
    x = 51,207,854.95/9,232.36
  6. Step 6: Final answer
    x = 5,546.56

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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.