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Finding the Fourth Proportional to 7,076.09, 9,767.40 and 4,093.13

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Solution

The fourth proportional to 7,076.09, 9,767.40 and 4,093.13 is: 5,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.09 : 9,767.40 = 4,093.13 : x
  2. Step 2: Convert to fraction form
    7,076.09/9,767.40 = 4,093.13/x
  3. Step 3: Cross multiply
    7,076.09x = 9,767.40 × 4,093.13
  4. Step 4: Simplify right side
    7,076.09x = 39,979,237.96
  5. Step 5: Solve for x
    x = 39,979,237.96/7,076.09
  6. Step 6: Final answer
    x = 5,649.91

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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.