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Finding the Fourth Proportional to 6,159.92, 9,241.34 and 1,999.94

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Solution

The fourth proportional to 6,159.92, 9,241.34 and 1,999.94 is: 3,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.92 : 9,241.34 = 1,999.94 : x
  2. Step 2: Convert to fraction form
    6,159.92/9,241.34 = 1,999.94/x
  3. Step 3: Cross multiply
    6,159.92x = 9,241.34 × 1,999.94
  4. Step 4: Simplify right side
    6,159.92x = 18,482,125.52
  5. Step 5: Solve for x
    x = 18,482,125.52/6,159.92
  6. Step 6: Final answer
    x = 3,000.38

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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.