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Finding the Fourth Proportional to 6,746.42, 9,311.74 and 3,952.82

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Solution

The fourth proportional to 6,746.42, 9,311.74 and 3,952.82 is: 5,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.42 : 9,311.74 = 3,952.82 : x
  2. Step 2: Convert to fraction form
    6,746.42/9,311.74 = 3,952.82/x
  3. Step 3: Cross multiply
    6,746.42x = 9,311.74 × 3,952.82
  4. Step 4: Simplify right side
    6,746.42x = 36,807,632.11
  5. Step 5: Solve for x
    x = 36,807,632.11/6,746.42
  6. Step 6: Final answer
    x = 5,455.88

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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.