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Finding the Fourth Proportional to 6,981.33, 9,642.46 and 4,619.37

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Solution

The fourth proportional to 6,981.33, 9,642.46 and 4,619.37 is: 6,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.33 : 9,642.46 = 4,619.37 : x
  2. Step 2: Convert to fraction form
    6,981.33/9,642.46 = 4,619.37/x
  3. Step 3: Cross multiply
    6,981.33x = 9,642.46 × 4,619.37
  4. Step 4: Simplify right side
    6,981.33x = 44,542,069.48
  5. Step 5: Solve for x
    x = 44,542,069.48/6,981.33
  6. Step 6: Final answer
    x = 6,380.17

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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.