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Finding the Fourth Proportional to 6,490.80, 9,736.20 and 1,873.20

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Solution

The fourth proportional to 6,490.80, 9,736.20 and 1,873.20 is: 2,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.80 : 9,736.20 = 1,873.20 : x
  2. Step 2: Convert to fraction form
    6,490.80/9,736.20 = 1,873.20/x
  3. Step 3: Cross multiply
    6,490.80x = 9,736.20 × 1,873.20
  4. Step 4: Simplify right side
    6,490.80x = 18,237,849.84
  5. Step 5: Solve for x
    x = 18,237,849.84/6,490.80
  6. Step 6: Final answer
    x = 2,809.80

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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.