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Finding the Fourth Proportional to 6,945.48, 9,579.34 and 6,149.65

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Solution

The fourth proportional to 6,945.48, 9,579.34 and 6,149.65 is: 8,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.48 : 9,579.34 = 6,149.65 : x
  2. Step 2: Convert to fraction form
    6,945.48/9,579.34 = 6,149.65/x
  3. Step 3: Cross multiply
    6,945.48x = 9,579.34 × 6,149.65
  4. Step 4: Simplify right side
    6,945.48x = 58,909,588.23
  5. Step 5: Solve for x
    x = 58,909,588.23/6,945.48
  6. Step 6: Final answer
    x = 8,481.72

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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.