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Finding the Fourth Proportional to 6,166.54, 9,249.81 and 6,093.10

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Solution

The fourth proportional to 6,166.54, 9,249.81 and 6,093.10 is: 9,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.54 : 9,249.81 = 6,093.10 : x
  2. Step 2: Convert to fraction form
    6,166.54/9,249.81 = 6,093.10/x
  3. Step 3: Cross multiply
    6,166.54x = 9,249.81 × 6,093.10
  4. Step 4: Simplify right side
    6,166.54x = 56,360,017.31
  5. Step 5: Solve for x
    x = 56,360,017.31/6,166.54
  6. Step 6: Final answer
    x = 9,139.65

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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.