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Finding the Fourth Proportional to 6,177.82, 9,266.73 and 4,787.02

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Solution

The fourth proportional to 6,177.82, 9,266.73 and 4,787.02 is: 7,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.82 : 9,266.73 = 4,787.02 : x
  2. Step 2: Convert to fraction form
    6,177.82/9,266.73 = 4,787.02/x
  3. Step 3: Cross multiply
    6,177.82x = 9,266.73 × 4,787.02
  4. Step 4: Simplify right side
    6,177.82x = 44,360,055.00
  5. Step 5: Solve for x
    x = 44,360,055.00/6,177.82
  6. Step 6: Final answer
    x = 7,180.54

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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.