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Finding the Fourth Proportional to 6,187.76, 9,283.12 and 2,490.48

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Solution

The fourth proportional to 6,187.76, 9,283.12 and 2,490.48 is: 3,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.76 : 9,283.12 = 2,490.48 : x
  2. Step 2: Convert to fraction form
    6,187.76/9,283.12 = 2,490.48/x
  3. Step 3: Cross multiply
    6,187.76x = 9,283.12 × 2,490.48
  4. Step 4: Simplify right side
    6,187.76x = 23,119,424.70
  5. Step 5: Solve for x
    x = 23,119,424.70/6,187.76
  6. Step 6: Final answer
    x = 3,736.32

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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.