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Finding the Fourth Proportional to 6,218.16, 9,322.92 and 3,138

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Solution

The fourth proportional to 6,218.16, 9,322.92 and 3,138 is: 4,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.16 : 9,322.92 = 3,138 : x
  2. Step 2: Convert to fraction form
    6,218.16/9,322.92 = 3,138/x
  3. Step 3: Cross multiply
    6,218.16x = 9,322.92 × 3,138
  4. Step 4: Simplify right side
    6,218.16x = 29,255,322.96
  5. Step 5: Solve for x
    x = 29,255,322.96/6,218.16
  6. Step 6: Final answer
    x = 4,704.82

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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.