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Finding the Fourth Proportional to 6,670.65, 9,198.61 and 5,729.57

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Solution

The fourth proportional to 6,670.65, 9,198.61 and 5,729.57 is: 7,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.65 : 9,198.61 = 5,729.57 : x
  2. Step 2: Convert to fraction form
    6,670.65/9,198.61 = 5,729.57/x
  3. Step 3: Cross multiply
    6,670.65x = 9,198.61 × 5,729.57
  4. Step 4: Simplify right side
    6,670.65x = 52,704,086.30
  5. Step 5: Solve for x
    x = 52,704,086.30/6,670.65
  6. Step 6: Final answer
    x = 7,900.89

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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.