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Finding the Fourth Proportional to 9,242.32, 13,863.54 and 3,696.13

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Solution

The fourth proportional to 9,242.32, 13,863.54 and 3,696.13 is: 5,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.32 : 13,863.54 = 3,696.13 : x
  2. Step 2: Convert to fraction form
    9,242.32/13,863.54 = 3,696.13/x
  3. Step 3: Cross multiply
    9,242.32x = 13,863.54 × 3,696.13
  4. Step 4: Simplify right side
    9,242.32x = 51,241,446.10
  5. Step 5: Solve for x
    x = 51,241,446.10/9,242.32
  6. Step 6: Final answer
    x = 5,544.22

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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.