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Finding the Fourth Proportional to 6,694.75, 9,238.50 and 3,710.63

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Solution

The fourth proportional to 6,694.75, 9,238.50 and 3,710.63 is: 5,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.75 : 9,238.50 = 3,710.63 : x
  2. Step 2: Convert to fraction form
    6,694.75/9,238.50 = 3,710.63/x
  3. Step 3: Cross multiply
    6,694.75x = 9,238.50 × 3,710.63
  4. Step 4: Simplify right side
    6,694.75x = 34,280,678.35
  5. Step 5: Solve for x
    x = 34,280,678.35/6,694.75
  6. Step 6: Final answer
    x = 5,120.53

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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.