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Finding the Fourth Proportional to 6,162.04, 9,241.16 and 1,778.32

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Solution

The fourth proportional to 6,162.04, 9,241.16 and 1,778.32 is: 2,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.04 : 9,241.16 = 1,778.32 : x
  2. Step 2: Convert to fraction form
    6,162.04/9,241.16 = 1,778.32/x
  3. Step 3: Cross multiply
    6,162.04x = 9,241.16 × 1,778.32
  4. Step 4: Simplify right side
    6,162.04x = 16,433,739.65
  5. Step 5: Solve for x
    x = 16,433,739.65/6,162.04
  6. Step 6: Final answer
    x = 2,666.93

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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.