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Finding the Fourth Proportional to 6,760.31, 9,330.89 and 4,109.48

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Solution

The fourth proportional to 6,760.31, 9,330.89 and 4,109.48 is: 5,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.31 : 9,330.89 = 4,109.48 : x
  2. Step 2: Convert to fraction form
    6,760.31/9,330.89 = 4,109.48/x
  3. Step 3: Cross multiply
    6,760.31x = 9,330.89 × 4,109.48
  4. Step 4: Simplify right side
    6,760.31x = 38,345,038.64
  5. Step 5: Solve for x
    x = 38,345,038.64/6,760.31
  6. Step 6: Final answer
    x = 5,672.09

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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.