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Finding the Fourth Proportional to 9,172.32, 13,696.32 and 7,202.40

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Solution

The fourth proportional to 9,172.32, 13,696.32 and 7,202.40 is: 10,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.32 : 13,696.32 = 7,202.40 : x
  2. Step 2: Convert to fraction form
    9,172.32/13,696.32 = 7,202.40/x
  3. Step 3: Cross multiply
    9,172.32x = 13,696.32 × 7,202.40
  4. Step 4: Simplify right side
    9,172.32x = 98,646,375.17
  5. Step 5: Solve for x
    x = 98,646,375.17/9,172.32
  6. Step 6: Final answer
    x = 10,754.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.