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Finding the Fourth Proportional to 6,784.69, 9,363.23 and 3,800.35

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Solution

The fourth proportional to 6,784.69, 9,363.23 and 3,800.35 is: 5,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.69 : 9,363.23 = 3,800.35 : x
  2. Step 2: Convert to fraction form
    6,784.69/9,363.23 = 3,800.35/x
  3. Step 3: Cross multiply
    6,784.69x = 9,363.23 × 3,800.35
  4. Step 4: Simplify right side
    6,784.69x = 35,583,551.13
  5. Step 5: Solve for x
    x = 35,583,551.13/6,784.69
  6. Step 6: Final answer
    x = 5,244.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.