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Finding the Fourth Proportional to 6,859.74, 9,465.97 and 3,874.99

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Solution

The fourth proportional to 6,859.74, 9,465.97 and 3,874.99 is: 5,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.74 : 9,465.97 = 3,874.99 : x
  2. Step 2: Convert to fraction form
    6,859.74/9,465.97 = 3,874.99/x
  3. Step 3: Cross multiply
    6,859.74x = 9,465.97 × 3,874.99
  4. Step 4: Simplify right side
    6,859.74x = 36,680,539.09
  5. Step 5: Solve for x
    x = 36,680,539.09/6,859.74
  6. Step 6: Final answer
    x = 5,347.22

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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.