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Finding the Fourth Proportional to 6,490.10, 9,735.15 and 5,194.10

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Solution

The fourth proportional to 6,490.10, 9,735.15 and 5,194.10 is: 7,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.10 : 9,735.15 = 5,194.10 : x
  2. Step 2: Convert to fraction form
    6,490.10/9,735.15 = 5,194.10/x
  3. Step 3: Cross multiply
    6,490.10x = 9,735.15 × 5,194.10
  4. Step 4: Simplify right side
    6,490.10x = 50,565,342.62
  5. Step 5: Solve for x
    x = 50,565,342.62/6,490.10
  6. Step 6: Final answer
    x = 7,791.15

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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.