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Finding the Fourth Proportional to 6,832.11, 9,429.84 and 4,472.88

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Solution

The fourth proportional to 6,832.11, 9,429.84 and 4,472.88 is: 6,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.11 : 9,429.84 = 4,472.88 : x
  2. Step 2: Convert to fraction form
    6,832.11/9,429.84 = 4,472.88/x
  3. Step 3: Cross multiply
    6,832.11x = 9,429.84 × 4,472.88
  4. Step 4: Simplify right side
    6,832.11x = 42,178,542.74
  5. Step 5: Solve for x
    x = 42,178,542.74/6,832.11
  6. Step 6: Final answer
    x = 6,173.57

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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.