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Finding the Fourth Proportional to 6,072.84, 9,103.86 and 2,377.62

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Solution

The fourth proportional to 6,072.84, 9,103.86 and 2,377.62 is: 3,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.84 : 9,103.86 = 2,377.62 : x
  2. Step 2: Convert to fraction form
    6,072.84/9,103.86 = 2,377.62/x
  3. Step 3: Cross multiply
    6,072.84x = 9,103.86 × 2,377.62
  4. Step 4: Simplify right side
    6,072.84x = 21,645,519.61
  5. Step 5: Solve for x
    x = 21,645,519.61/6,072.84
  6. Step 6: Final answer
    x = 3,564.32

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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.