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Finding the Fourth Proportional to 6,022.65, 8,321.67 and 4,972.89

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Solution

The fourth proportional to 6,022.65, 8,321.67 and 4,972.89 is: 6,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.65 : 8,321.67 = 4,972.89 : x
  2. Step 2: Convert to fraction form
    6,022.65/8,321.67 = 4,972.89/x
  3. Step 3: Cross multiply
    6,022.65x = 8,321.67 × 4,972.89
  4. Step 4: Simplify right side
    6,022.65x = 41,382,749.53
  5. Step 5: Solve for x
    x = 41,382,749.53/6,022.65
  6. Step 6: Final answer
    x = 6,871.19

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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.