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Finding the Fourth Proportional to 6,262.07, 9,384.81 and 3,294.44

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Solution

The fourth proportional to 6,262.07, 9,384.81 and 3,294.44 is: 4,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.07 : 9,384.81 = 3,294.44 : x
  2. Step 2: Convert to fraction form
    6,262.07/9,384.81 = 3,294.44/x
  3. Step 3: Cross multiply
    6,262.07x = 9,384.81 × 3,294.44
  4. Step 4: Simplify right side
    6,262.07x = 30,917,646.53
  5. Step 5: Solve for x
    x = 30,917,646.53/6,262.07
  6. Step 6: Final answer
    x = 4,937.29

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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.