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Finding the Fourth Proportional to 6,184.35, 9,277.10 and 2,024.38

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Solution

The fourth proportional to 6,184.35, 9,277.10 and 2,024.38 is: 3,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.35 : 9,277.10 = 2,024.38 : x
  2. Step 2: Convert to fraction form
    6,184.35/9,277.10 = 2,024.38/x
  3. Step 3: Cross multiply
    6,184.35x = 9,277.10 × 2,024.38
  4. Step 4: Simplify right side
    6,184.35x = 18,780,375.70
  5. Step 5: Solve for x
    x = 18,780,375.70/6,184.35
  6. Step 6: Final answer
    x = 3,036.76

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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.