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Finding the Fourth Proportional to 6,490.80, 9,736.02 and 1,873.80

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Solution

The fourth proportional to 6,490.80, 9,736.02 and 1,873.80 is: 2,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.80 : 9,736.02 = 1,873.80 : x
  2. Step 2: Convert to fraction form
    6,490.80/9,736.02 = 1,873.80/x
  3. Step 3: Cross multiply
    6,490.80x = 9,736.02 × 1,873.80
  4. Step 4: Simplify right side
    6,490.80x = 18,243,354.28
  5. Step 5: Solve for x
    x = 18,243,354.28/6,490.80
  6. Step 6: Final answer
    x = 2,810.65

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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.