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Finding the Fourth Proportional to 6,642.65, 9,164.67 and 4,286.36

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Solution

The fourth proportional to 6,642.65, 9,164.67 and 4,286.36 is: 5,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.65 : 9,164.67 = 4,286.36 : x
  2. Step 2: Convert to fraction form
    6,642.65/9,164.67 = 4,286.36/x
  3. Step 3: Cross multiply
    6,642.65x = 9,164.67 × 4,286.36
  4. Step 4: Simplify right side
    6,642.65x = 39,283,074.90
  5. Step 5: Solve for x
    x = 39,283,074.90/6,642.65
  6. Step 6: Final answer
    x = 5,913.77

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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.