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Finding the Fourth Proportional to 6,694.64, 9,238.40 and 3,710.72

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Solution

The fourth proportional to 6,694.64, 9,238.40 and 3,710.72 is: 5,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.64 : 9,238.40 = 3,710.72 : x
  2. Step 2: Convert to fraction form
    6,694.64/9,238.40 = 3,710.72/x
  3. Step 3: Cross multiply
    6,694.64x = 9,238.40 × 3,710.72
  4. Step 4: Simplify right side
    6,694.64x = 34,281,115.65
  5. Step 5: Solve for x
    x = 34,281,115.65/6,694.64
  6. Step 6: Final answer
    x = 5,120.68

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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.