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Finding the Fourth Proportional to 6,318.19, 9,475.66 and 1,874.81

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Solution

The fourth proportional to 6,318.19, 9,475.66 and 1,874.81 is: 2,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.19 : 9,475.66 = 1,874.81 : x
  2. Step 2: Convert to fraction form
    6,318.19/9,475.66 = 1,874.81/x
  3. Step 3: Cross multiply
    6,318.19x = 9,475.66 × 1,874.81
  4. Step 4: Simplify right side
    6,318.19x = 17,765,062.12
  5. Step 5: Solve for x
    x = 17,765,062.12/6,318.19
  6. Step 6: Final answer
    x = 2,811.73

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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.