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Finding the Fourth Proportional to 6,188.68, 9,272.21 and 5,155.32

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Solution

The fourth proportional to 6,188.68, 9,272.21 and 5,155.32 is: 7,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.68 : 9,272.21 = 5,155.32 : x
  2. Step 2: Convert to fraction form
    6,188.68/9,272.21 = 5,155.32/x
  3. Step 3: Cross multiply
    6,188.68x = 9,272.21 × 5,155.32
  4. Step 4: Simplify right side
    6,188.68x = 47,801,222.55
  5. Step 5: Solve for x
    x = 47,801,222.55/6,188.68
  6. Step 6: Final answer
    x = 7,723.98

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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.