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Finding the Fourth Proportional to 6,221.96, 9,329.72 and 1,838.88

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Solution

The fourth proportional to 6,221.96, 9,329.72 and 1,838.88 is: 2,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.96 : 9,329.72 = 1,838.88 : x
  2. Step 2: Convert to fraction form
    6,221.96/9,329.72 = 1,838.88/x
  3. Step 3: Cross multiply
    6,221.96x = 9,329.72 × 1,838.88
  4. Step 4: Simplify right side
    6,221.96x = 17,156,235.51
  5. Step 5: Solve for x
    x = 17,156,235.51/6,221.96
  6. Step 6: Final answer
    x = 2,757.37

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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.