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Finding the Fourth Proportional to 6,318.56, 9,475.56 and 1,874.90

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Solution

The fourth proportional to 6,318.56, 9,475.56 and 1,874.90 is: 2,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.56 : 9,475.56 = 1,874.90 : x
  2. Step 2: Convert to fraction form
    6,318.56/9,475.56 = 1,874.90/x
  3. Step 3: Cross multiply
    6,318.56x = 9,475.56 × 1,874.90
  4. Step 4: Simplify right side
    6,318.56x = 17,765,727.44
  5. Step 5: Solve for x
    x = 17,765,727.44/6,318.56
  6. Step 6: Final answer
    x = 2,811.67

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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.