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Finding the Fourth Proportional to 6,864.54, 10,314.36 and 6,466.16

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Solution

The fourth proportional to 6,864.54, 10,314.36 and 6,466.16 is: 9,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.54 : 10,314.36 = 6,466.16 : x
  2. Step 2: Convert to fraction form
    6,864.54/10,314.36 = 6,466.16/x
  3. Step 3: Cross multiply
    6,864.54x = 10,314.36 × 6,466.16
  4. Step 4: Simplify right side
    6,864.54x = 66,694,250.49
  5. Step 5: Solve for x
    x = 66,694,250.49/6,864.54
  6. Step 6: Final answer
    x = 9,715.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.