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Finding the Fourth Proportional to 6,982.14, 9,607.08 and 6,739.74

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Solution

The fourth proportional to 6,982.14, 9,607.08 and 6,739.74 is: 9,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.14 : 9,607.08 = 6,739.74 : x
  2. Step 2: Convert to fraction form
    6,982.14/9,607.08 = 6,739.74/x
  3. Step 3: Cross multiply
    6,982.14x = 9,607.08 × 6,739.74
  4. Step 4: Simplify right side
    6,982.14x = 64,749,221.36
  5. Step 5: Solve for x
    x = 64,749,221.36/6,982.14
  6. Step 6: Final answer
    x = 9,273.55

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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.