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Finding the Fourth Proportional to 6,678.06, 9,216.81 and 6,382.77

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Solution

The fourth proportional to 6,678.06, 9,216.81 and 6,382.77 is: 8,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.06 : 9,216.81 = 6,382.77 : x
  2. Step 2: Convert to fraction form
    6,678.06/9,216.81 = 6,382.77/x
  3. Step 3: Cross multiply
    6,678.06x = 9,216.81 × 6,382.77
  4. Step 4: Simplify right side
    6,678.06x = 58,828,778.36
  5. Step 5: Solve for x
    x = 58,828,778.36/6,678.06
  6. Step 6: Final answer
    x = 8,809.26

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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.