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Finding the Fourth Proportional to 9,862.20, 14,786.01 and 4,662

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Solution

The fourth proportional to 9,862.20, 14,786.01 and 4,662 is: 6,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.20 : 14,786.01 = 4,662 : x
  2. Step 2: Convert to fraction form
    9,862.20/14,786.01 = 4,662/x
  3. Step 3: Cross multiply
    9,862.20x = 14,786.01 × 4,662
  4. Step 4: Simplify right side
    9,862.20x = 68,932,378.62
  5. Step 5: Solve for x
    x = 68,932,378.62/9,862.20
  6. Step 6: Final answer
    x = 6,989.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.