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Finding the Fourth Proportional to 6,975.64, 9,633.59 and 5,975.11

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Solution

The fourth proportional to 6,975.64, 9,633.59 and 5,975.11 is: 8,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.64 : 9,633.59 = 5,975.11 : x
  2. Step 2: Convert to fraction form
    6,975.64/9,633.59 = 5,975.11/x
  3. Step 3: Cross multiply
    6,975.64x = 9,633.59 × 5,975.11
  4. Step 4: Simplify right side
    6,975.64x = 57,561,759.94
  5. Step 5: Solve for x
    x = 57,561,759.94/6,975.64
  6. Step 6: Final answer
    x = 8,251.82

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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.