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Finding the Fourth Proportional to 6,678.32, 9,216.12 and 3,694.16

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Solution

The fourth proportional to 6,678.32, 9,216.12 and 3,694.16 is: 5,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.32 : 9,216.12 = 3,694.16 : x
  2. Step 2: Convert to fraction form
    6,678.32/9,216.12 = 3,694.16/x
  3. Step 3: Cross multiply
    6,678.32x = 9,216.12 × 3,694.16
  4. Step 4: Simplify right side
    6,678.32x = 34,045,821.86
  5. Step 5: Solve for x
    x = 34,045,821.86/6,678.32
  6. Step 6: Final answer
    x = 5,097.96

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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.