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Finding the Fourth Proportional to 6,698.14, 9,239.25 and 4,311.24

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Solution

The fourth proportional to 6,698.14, 9,239.25 and 4,311.24 is: 5,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.14 : 9,239.25 = 4,311.24 : x
  2. Step 2: Convert to fraction form
    6,698.14/9,239.25 = 4,311.24/x
  3. Step 3: Cross multiply
    6,698.14x = 9,239.25 × 4,311.24
  4. Step 4: Simplify right side
    6,698.14x = 39,832,633.41
  5. Step 5: Solve for x
    x = 39,832,633.41/6,698.14
  6. Step 6: Final answer
    x = 5,946.82

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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.