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Finding the Fourth Proportional to 6,316.05, 9,475.22 and 2,155.84

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Solution

The fourth proportional to 6,316.05, 9,475.22 and 2,155.84 is: 3,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.05 : 9,475.22 = 2,155.84 : x
  2. Step 2: Convert to fraction form
    6,316.05/9,475.22 = 2,155.84/x
  3. Step 3: Cross multiply
    6,316.05x = 9,475.22 × 2,155.84
  4. Step 4: Simplify right side
    6,316.05x = 20,427,058.28
  5. Step 5: Solve for x
    x = 20,427,058.28/6,316.05
  6. Step 6: Final answer
    x = 3,234.15

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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.