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Finding the Fourth Proportional to 6,992.96, 9,650.32 and 4,008.88

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Solution

The fourth proportional to 6,992.96, 9,650.32 and 4,008.88 is: 5,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.96 : 9,650.32 = 4,008.88 : x
  2. Step 2: Convert to fraction form
    6,992.96/9,650.32 = 4,008.88/x
  3. Step 3: Cross multiply
    6,992.96x = 9,650.32 × 4,008.88
  4. Step 4: Simplify right side
    6,992.96x = 38,686,974.84
  5. Step 5: Solve for x
    x = 38,686,974.84/6,992.96
  6. Step 6: Final answer
    x = 5,532.27

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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.