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Finding the Fourth Proportional to 6,700.74, 9,247.05 and 3,716.85

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Solution

The fourth proportional to 6,700.74, 9,247.05 and 3,716.85 is: 5,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.74 : 9,247.05 = 3,716.85 : x
  2. Step 2: Convert to fraction form
    6,700.74/9,247.05 = 3,716.85/x
  3. Step 3: Cross multiply
    6,700.74x = 9,247.05 × 3,716.85
  4. Step 4: Simplify right side
    6,700.74x = 34,369,879.21
  5. Step 5: Solve for x
    x = 34,369,879.21/6,700.74
  6. Step 6: Final answer
    x = 5,129.27

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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.