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Finding the Fourth Proportional to 6,199.84, 9,302.94 and 4,121.27

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Solution

The fourth proportional to 6,199.84, 9,302.94 and 4,121.27 is: 6,184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.84 : 9,302.94 = 4,121.27 : x
  2. Step 2: Convert to fraction form
    6,199.84/9,302.94 = 4,121.27/x
  3. Step 3: Cross multiply
    6,199.84x = 9,302.94 × 4,121.27
  4. Step 4: Simplify right side
    6,199.84x = 38,339,927.53
  5. Step 5: Solve for x
    x = 38,339,927.53/6,199.84
  6. Step 6: Final answer
    x = 6,184.02

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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.