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Finding the Fourth Proportional to 9,738.83, 14,620.80 and 8,361.02

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Solution

The fourth proportional to 9,738.83, 14,620.80 and 8,361.02 is: 12,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.83 : 14,620.80 = 8,361.02 : x
  2. Step 2: Convert to fraction form
    9,738.83/14,620.80 = 8,361.02/x
  3. Step 3: Cross multiply
    9,738.83x = 14,620.80 × 8,361.02
  4. Step 4: Simplify right side
    9,738.83x = 122,244,869.12
  5. Step 5: Solve for x
    x = 122,244,869.12/9,738.83
  6. Step 6: Final answer
    x = 12,552.31

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Why These Related Problems?

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