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Finding the Fourth Proportional to 6,155.78, 9,232.62 and 1,772.22

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Solution

The fourth proportional to 6,155.78, 9,232.62 and 1,772.22 is: 2,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.78 : 9,232.62 = 1,772.22 : x
  2. Step 2: Convert to fraction form
    6,155.78/9,232.62 = 1,772.22/x
  3. Step 3: Cross multiply
    6,155.78x = 9,232.62 × 1,772.22
  4. Step 4: Simplify right side
    6,155.78x = 16,362,233.82
  5. Step 5: Solve for x
    x = 16,362,233.82/6,155.78
  6. Step 6: Final answer
    x = 2,658.03

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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.