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Finding the Fourth Proportional to 6,776.25, 9,350.56 and 3,943.99

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Solution

The fourth proportional to 6,776.25, 9,350.56 and 3,943.99 is: 5,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.25 : 9,350.56 = 3,943.99 : x
  2. Step 2: Convert to fraction form
    6,776.25/9,350.56 = 3,943.99/x
  3. Step 3: Cross multiply
    6,776.25x = 9,350.56 × 3,943.99
  4. Step 4: Simplify right side
    6,776.25x = 36,878,495.41
  5. Step 5: Solve for x
    x = 36,878,495.41/6,776.25
  6. Step 6: Final answer
    x = 5,442.32

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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.