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Finding the Fourth Proportional to 6,995.28, 9,652.32 and 4,200.78

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Solution

The fourth proportional to 6,995.28, 9,652.32 and 4,200.78 is: 5,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.28 : 9,652.32 = 4,200.78 : x
  2. Step 2: Convert to fraction form
    6,995.28/9,652.32 = 4,200.78/x
  3. Step 3: Cross multiply
    6,995.28x = 9,652.32 × 4,200.78
  4. Step 4: Simplify right side
    6,995.28x = 40,547,272.81
  5. Step 5: Solve for x
    x = 40,547,272.81/6,995.28
  6. Step 6: Final answer
    x = 5,796.38

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Why These Related Problems?

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