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Finding the Fourth Proportional to 6,151.86, 9,206.91 and 5,165.73

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Solution

The fourth proportional to 6,151.86, 9,206.91 and 5,165.73 is: 7,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.86 : 9,206.91 = 5,165.73 : x
  2. Step 2: Convert to fraction form
    6,151.86/9,206.91 = 5,165.73/x
  3. Step 3: Cross multiply
    6,151.86x = 9,206.91 × 5,165.73
  4. Step 4: Simplify right side
    6,151.86x = 47,560,411.19
  5. Step 5: Solve for x
    x = 47,560,411.19/6,151.86
  6. Step 6: Final answer
    x = 7,731.06

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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.