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Finding the Fourth Proportional to 7,083.10, 9,774.66 and 3,939.28

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Solution

The fourth proportional to 7,083.10, 9,774.66 and 3,939.28 is: 5,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.10 : 9,774.66 = 3,939.28 : x
  2. Step 2: Convert to fraction form
    7,083.10/9,774.66 = 3,939.28/x
  3. Step 3: Cross multiply
    7,083.10x = 9,774.66 × 3,939.28
  4. Step 4: Simplify right side
    7,083.10x = 38,505,122.64
  5. Step 5: Solve for x
    x = 38,505,122.64/7,083.10
  6. Step 6: Final answer
    x = 5,436.20

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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.