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Finding the Fourth Proportional to 6,322.67, 9,478.64 and 2,622.59

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Solution

The fourth proportional to 6,322.67, 9,478.64 and 2,622.59 is: 3,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.67 : 9,478.64 = 2,622.59 : x
  2. Step 2: Convert to fraction form
    6,322.67/9,478.64 = 2,622.59/x
  3. Step 3: Cross multiply
    6,322.67x = 9,478.64 × 2,622.59
  4. Step 4: Simplify right side
    6,322.67x = 24,858,545.64
  5. Step 5: Solve for x
    x = 24,858,545.64/6,322.67
  6. Step 6: Final answer
    x = 3,931.66

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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.