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Finding the Fourth Proportional to 6,943.74, 9,582.50 and 3,800.00

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Solution

The fourth proportional to 6,943.74, 9,582.50 and 3,800.00 is: 5,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.74 : 9,582.50 = 3,800.00 : x
  2. Step 2: Convert to fraction form
    6,943.74/9,582.50 = 3,800.00/x
  3. Step 3: Cross multiply
    6,943.74x = 9,582.50 × 3,800.00
  4. Step 4: Simplify right side
    6,943.74x = 36,413,433.09
  5. Step 5: Solve for x
    x = 36,413,433.09/6,943.74
  6. Step 6: Final answer
    x = 5,244.07

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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.