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Finding the Fourth Proportional to 6,040.86, 9,050 and 3,814.90

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Solution

The fourth proportional to 6,040.86, 9,050 and 3,814.90 is: 5,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,040.86 : 9,050 = 3,814.90 : x
  2. Step 2: Convert to fraction form
    6,040.86/9,050 = 3,814.90/x
  3. Step 3: Cross multiply
    6,040.86x = 9,050 × 3,814.90
  4. Step 4: Simplify right side
    6,040.86x = 34,524,845
  5. Step 5: Solve for x
    x = 34,524,845/6,040.86
  6. Step 6: Final answer
    x = 5,715.22

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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.