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Finding the Fourth Proportional to 6,700.44, 9,246.54 and 3,716.46

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Solution

The fourth proportional to 6,700.44, 9,246.54 and 3,716.46 is: 5,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.44 : 9,246.54 = 3,716.46 : x
  2. Step 2: Convert to fraction form
    6,700.44/9,246.54 = 3,716.46/x
  3. Step 3: Cross multiply
    6,700.44x = 9,246.54 × 3,716.46
  4. Step 4: Simplify right side
    6,700.44x = 34,364,396.05
  5. Step 5: Solve for x
    x = 34,364,396.05/6,700.44
  6. Step 6: Final answer
    x = 5,128.68

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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.