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Finding the Fourth Proportional to 6,189.93, 9,277.91 and 3,072.16

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Solution

The fourth proportional to 6,189.93, 9,277.91 and 3,072.16 is: 4,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.93 : 9,277.91 = 3,072.16 : x
  2. Step 2: Convert to fraction form
    6,189.93/9,277.91 = 3,072.16/x
  3. Step 3: Cross multiply
    6,189.93x = 9,277.91 × 3,072.16
  4. Step 4: Simplify right side
    6,189.93x = 28,503,223.99
  5. Step 5: Solve for x
    x = 28,503,223.99/6,189.93
  6. Step 6: Final answer
    x = 4,604.77

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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.