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Finding the Fourth Proportional to 6,043.82, 9,065.93 and 1,661.31

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Solution

The fourth proportional to 6,043.82, 9,065.93 and 1,661.31 is: 2,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.82 : 9,065.93 = 1,661.31 : x
  2. Step 2: Convert to fraction form
    6,043.82/9,065.93 = 1,661.31/x
  3. Step 3: Cross multiply
    6,043.82x = 9,065.93 × 1,661.31
  4. Step 4: Simplify right side
    6,043.82x = 15,061,311.86
  5. Step 5: Solve for x
    x = 15,061,311.86/6,043.82
  6. Step 6: Final answer
    x = 2,492.02

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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.