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Finding the Fourth Proportional to 6,976.32, 9,629.04 and 4,322.16

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Solution

The fourth proportional to 6,976.32, 9,629.04 and 4,322.16 is: 5,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.32 : 9,629.04 = 4,322.16 : x
  2. Step 2: Convert to fraction form
    6,976.32/9,629.04 = 4,322.16/x
  3. Step 3: Cross multiply
    6,976.32x = 9,629.04 × 4,322.16
  4. Step 4: Simplify right side
    6,976.32x = 41,618,251.53
  5. Step 5: Solve for x
    x = 41,618,251.53/6,976.32
  6. Step 6: Final answer
    x = 5,965.65

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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.