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Finding the Fourth Proportional to 6,859.25, 9,465.01 and 3,874.46

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Solution

The fourth proportional to 6,859.25, 9,465.01 and 3,874.46 is: 5,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.25 : 9,465.01 = 3,874.46 : x
  2. Step 2: Convert to fraction form
    6,859.25/9,465.01 = 3,874.46/x
  3. Step 3: Cross multiply
    6,859.25x = 9,465.01 × 3,874.46
  4. Step 4: Simplify right side
    6,859.25x = 36,671,735.95
  5. Step 5: Solve for x
    x = 36,671,735.95/6,859.25
  6. Step 6: Final answer
    x = 5,346.32

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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.