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Finding the Fourth Proportional to 6,316.14, 9,474.20 and 2,805.32

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Solution

The fourth proportional to 6,316.14, 9,474.20 and 2,805.32 is: 4,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.14 : 9,474.20 = 2,805.32 : x
  2. Step 2: Convert to fraction form
    6,316.14/9,474.20 = 2,805.32/x
  3. Step 3: Cross multiply
    6,316.14x = 9,474.20 × 2,805.32
  4. Step 4: Simplify right side
    6,316.14x = 26,578,115.37
  5. Step 5: Solve for x
    x = 26,578,115.37/6,316.14
  6. Step 6: Final answer
    x = 4,207.97

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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.