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Finding the Fourth Proportional to 7,115.36, 9,819.84 and 3,972.32

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Solution

The fourth proportional to 7,115.36, 9,819.84 and 3,972.32 is: 5,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.36 : 9,819.84 = 3,972.32 : x
  2. Step 2: Convert to fraction form
    7,115.36/9,819.84 = 3,972.32/x
  3. Step 3: Cross multiply
    7,115.36x = 9,819.84 × 3,972.32
  4. Step 4: Simplify right side
    7,115.36x = 39,007,546.83
  5. Step 5: Solve for x
    x = 39,007,546.83/7,115.36
  6. Step 6: Final answer
    x = 5,482.16

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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.