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Finding the Fourth Proportional to 6,272.74, 9,411.77 and 3,151.10

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Solution

The fourth proportional to 6,272.74, 9,411.77 and 3,151.10 is: 4,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.74 : 9,411.77 = 3,151.10 : x
  2. Step 2: Convert to fraction form
    6,272.74/9,411.77 = 3,151.10/x
  3. Step 3: Cross multiply
    6,272.74x = 9,411.77 × 3,151.10
  4. Step 4: Simplify right side
    6,272.74x = 29,657,450.99
  5. Step 5: Solve for x
    x = 29,657,450.99/6,272.74
  6. Step 6: Final answer
    x = 4,727.99

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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.