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Finding the Fourth Proportional to 6,177, 9,264.60 and 2,280.72

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Solution

The fourth proportional to 6,177, 9,264.60 and 2,280.72 is: 3,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177 : 9,264.60 = 2,280.72 : x
  2. Step 2: Convert to fraction form
    6,177/9,264.60 = 2,280.72/x
  3. Step 3: Cross multiply
    6,177x = 9,264.60 × 2,280.72
  4. Step 4: Simplify right side
    6,177x = 21,129,958.51
  5. Step 5: Solve for x
    x = 21,129,958.51/6,177
  6. Step 6: Final answer
    x = 3,420.75

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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.