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Finding the Fourth Proportional to 6,151.41, 9,239.54 and 3,690.90

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Solution

The fourth proportional to 6,151.41, 9,239.54 and 3,690.90 is: 5,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.41 : 9,239.54 = 3,690.90 : x
  2. Step 2: Convert to fraction form
    6,151.41/9,239.54 = 3,690.90/x
  3. Step 3: Cross multiply
    6,151.41x = 9,239.54 × 3,690.90
  4. Step 4: Simplify right side
    6,151.41x = 34,102,199.73
  5. Step 5: Solve for x
    x = 34,102,199.73/6,151.41
  6. Step 6: Final answer
    x = 5,543.80

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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.