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Finding the Fourth Proportional to 6,716.96, 9,266.82 and 4,952.76

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Solution

The fourth proportional to 6,716.96, 9,266.82 and 4,952.76 is: 6,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.96 : 9,266.82 = 4,952.76 : x
  2. Step 2: Convert to fraction form
    6,716.96/9,266.82 = 4,952.76/x
  3. Step 3: Cross multiply
    6,716.96x = 9,266.82 × 4,952.76
  4. Step 4: Simplify right side
    6,716.96x = 45,896,335.42
  5. Step 5: Solve for x
    x = 45,896,335.42/6,716.96
  6. Step 6: Final answer
    x = 6,832.90

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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.