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Finding the Fourth Proportional to 6,995.03, 9,650.75 and 4,162.86

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Solution

The fourth proportional to 6,995.03, 9,650.75 and 4,162.86 is: 5,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.03 : 9,650.75 = 4,162.86 : x
  2. Step 2: Convert to fraction form
    6,995.03/9,650.75 = 4,162.86/x
  3. Step 3: Cross multiply
    6,995.03x = 9,650.75 × 4,162.86
  4. Step 4: Simplify right side
    6,995.03x = 40,174,700.33
  5. Step 5: Solve for x
    x = 40,174,700.33/6,995.03
  6. Step 6: Final answer
    x = 5,743.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.