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Finding the Fourth Proportional to 6,111.36, 9,161.98 and 5,329.44

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Solution

The fourth proportional to 6,111.36, 9,161.98 and 5,329.44 is: 7,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.36 : 9,161.98 = 5,329.44 : x
  2. Step 2: Convert to fraction form
    6,111.36/9,161.98 = 5,329.44/x
  3. Step 3: Cross multiply
    6,111.36x = 9,161.98 × 5,329.44
  4. Step 4: Simplify right side
    6,111.36x = 48,828,222.69
  5. Step 5: Solve for x
    x = 48,828,222.69/6,111.36
  6. Step 6: Final answer
    x = 7,989.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.