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Finding the Fourth Proportional to 6,889.82, 9,507.98 and 4,057.31

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Solution

The fourth proportional to 6,889.82, 9,507.98 and 4,057.31 is: 5,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.82 : 9,507.98 = 4,057.31 : x
  2. Step 2: Convert to fraction form
    6,889.82/9,507.98 = 4,057.31/x
  3. Step 3: Cross multiply
    6,889.82x = 9,507.98 × 4,057.31
  4. Step 4: Simplify right side
    6,889.82x = 38,576,856.25
  5. Step 5: Solve for x
    x = 38,576,856.25/6,889.82
  6. Step 6: Final answer
    x = 5,599.11

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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.