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Finding the Fourth Proportional to 6,188.40, 9,277.74 and 4,234.68

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Solution

The fourth proportional to 6,188.40, 9,277.74 and 4,234.68 is: 6,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.40 : 9,277.74 = 4,234.68 : x
  2. Step 2: Convert to fraction form
    6,188.40/9,277.74 = 4,234.68/x
  3. Step 3: Cross multiply
    6,188.40x = 9,277.74 × 4,234.68
  4. Step 4: Simplify right side
    6,188.40x = 39,288,260.02
  5. Step 5: Solve for x
    x = 39,288,260.02/6,188.40
  6. Step 6: Final answer
    x = 6,348.69

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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.