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Finding the Fourth Proportional to 6,538.11, 9,803.04 and 2,154.39

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Solution

The fourth proportional to 6,538.11, 9,803.04 and 2,154.39 is: 3,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.11 : 9,803.04 = 2,154.39 : x
  2. Step 2: Convert to fraction form
    6,538.11/9,803.04 = 2,154.39/x
  3. Step 3: Cross multiply
    6,538.11x = 9,803.04 × 2,154.39
  4. Step 4: Simplify right side
    6,538.11x = 21,119,571.35
  5. Step 5: Solve for x
    x = 21,119,571.35/6,538.11
  6. Step 6: Final answer
    x = 3,230.23

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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.