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Finding the Fourth Proportional to 6,972.15, 9,621.13 and 3,828.32

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Solution

The fourth proportional to 6,972.15, 9,621.13 and 3,828.32 is: 5,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.15 : 9,621.13 = 3,828.32 : x
  2. Step 2: Convert to fraction form
    6,972.15/9,621.13 = 3,828.32/x
  3. Step 3: Cross multiply
    6,972.15x = 9,621.13 × 3,828.32
  4. Step 4: Simplify right side
    6,972.15x = 36,832,764.40
  5. Step 5: Solve for x
    x = 36,832,764.40/6,972.15
  6. Step 6: Final answer
    x = 5,282.84

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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.