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Finding the Fourth Proportional to 6,864.75, 9,466.28 and 5,873.31

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Solution

The fourth proportional to 6,864.75, 9,466.28 and 5,873.31 is: 8,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.75 : 9,466.28 = 5,873.31 : x
  2. Step 2: Convert to fraction form
    6,864.75/9,466.28 = 5,873.31/x
  3. Step 3: Cross multiply
    6,864.75x = 9,466.28 × 5,873.31
  4. Step 4: Simplify right side
    6,864.75x = 55,598,389.65
  5. Step 5: Solve for x
    x = 55,598,389.65/6,864.75
  6. Step 6: Final answer
    x = 8,099.11

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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.