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Finding the Fourth Proportional to 6,151.53, 9,227.99 and 2,255.93

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Solution

The fourth proportional to 6,151.53, 9,227.99 and 2,255.93 is: 3,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.53 : 9,227.99 = 2,255.93 : x
  2. Step 2: Convert to fraction form
    6,151.53/9,227.99 = 2,255.93/x
  3. Step 3: Cross multiply
    6,151.53x = 9,227.99 × 2,255.93
  4. Step 4: Simplify right side
    6,151.53x = 20,817,642.06
  5. Step 5: Solve for x
    x = 20,817,642.06/6,151.53
  6. Step 6: Final answer
    x = 3,384.14

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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.