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Finding the Fourth Proportional to 9,803.82, 14,701.62 and 3,879.78

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Solution

The fourth proportional to 9,803.82, 14,701.62 and 3,879.78 is: 5,818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.82 : 14,701.62 = 3,879.78 : x
  2. Step 2: Convert to fraction form
    9,803.82/14,701.62 = 3,879.78/x
  3. Step 3: Cross multiply
    9,803.82x = 14,701.62 × 3,879.78
  4. Step 4: Simplify right side
    9,803.82x = 57,039,051.24
  5. Step 5: Solve for x
    x = 57,039,051.24/9,803.82
  6. Step 6: Final answer
    x = 5,818.04

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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.