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Finding the Fourth Proportional to 6,177.54, 9,266.87 and 2,017.57

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Solution

The fourth proportional to 6,177.54, 9,266.87 and 2,017.57 is: 3,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.54 : 9,266.87 = 2,017.57 : x
  2. Step 2: Convert to fraction form
    6,177.54/9,266.87 = 2,017.57/x
  3. Step 3: Cross multiply
    6,177.54x = 9,266.87 × 2,017.57
  4. Step 4: Simplify right side
    6,177.54x = 18,696,534.93
  5. Step 5: Solve for x
    x = 18,696,534.93/6,177.54
  6. Step 6: Final answer
    x = 3,026.54

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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.