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Finding the Fourth Proportional to 6,943.88, 9,582.62 and 3,800.13

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Solution

The fourth proportional to 6,943.88, 9,582.62 and 3,800.13 is: 5,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.88 : 9,582.62 = 3,800.13 : x
  2. Step 2: Convert to fraction form
    6,943.88/9,582.62 = 3,800.13/x
  3. Step 3: Cross multiply
    6,943.88x = 9,582.62 × 3,800.13
  4. Step 4: Simplify right side
    6,943.88x = 36,415,182.74
  5. Step 5: Solve for x
    x = 36,415,182.74/6,943.88
  6. Step 6: Final answer
    x = 5,244.22

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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.