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Finding the Fourth Proportional to 6,137.28, 9,146.40 and 5,940.48

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Solution

The fourth proportional to 6,137.28, 9,146.40 and 5,940.48 is: 8,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.28 : 9,146.40 = 5,940.48 : x
  2. Step 2: Convert to fraction form
    6,137.28/9,146.40 = 5,940.48/x
  3. Step 3: Cross multiply
    6,137.28x = 9,146.40 × 5,940.48
  4. Step 4: Simplify right side
    6,137.28x = 54,334,006.27
  5. Step 5: Solve for x
    x = 54,334,006.27/6,137.28
  6. Step 6: Final answer
    x = 8,853.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.