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Finding the Fourth Proportional to 6,118.84, 9,166.02 and 2,827.48

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Solution

The fourth proportional to 6,118.84, 9,166.02 and 2,827.48 is: 4,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.84 : 9,166.02 = 2,827.48 : x
  2. Step 2: Convert to fraction form
    6,118.84/9,166.02 = 2,827.48/x
  3. Step 3: Cross multiply
    6,118.84x = 9,166.02 × 2,827.48
  4. Step 4: Simplify right side
    6,118.84x = 25,916,738.23
  5. Step 5: Solve for x
    x = 25,916,738.23/6,118.84
  6. Step 6: Final answer
    x = 4,235.56

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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.