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Finding the Fourth Proportional to 9,803.82, 13,529.19 and 5,974.35

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Solution

The fourth proportional to 9,803.82, 13,529.19 and 5,974.35 is: 8,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.82 : 13,529.19 = 5,974.35 : x
  2. Step 2: Convert to fraction form
    9,803.82/13,529.19 = 5,974.35/x
  3. Step 3: Cross multiply
    9,803.82x = 13,529.19 × 5,974.35
  4. Step 4: Simplify right side
    9,803.82x = 80,828,116.28
  5. Step 5: Solve for x
    x = 80,828,116.28/9,803.82
  6. Step 6: Final answer
    x = 8,244.55

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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.