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Finding the Fourth Proportional to 6,992.64, 9,647.19 and 4,007.37

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Solution

The fourth proportional to 6,992.64, 9,647.19 and 4,007.37 is: 5,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.64 : 9,647.19 = 4,007.37 : x
  2. Step 2: Convert to fraction form
    6,992.64/9,647.19 = 4,007.37/x
  3. Step 3: Cross multiply
    6,992.64x = 9,647.19 × 4,007.37
  4. Step 4: Simplify right side
    6,992.64x = 38,659,859.79
  5. Step 5: Solve for x
    x = 38,659,859.79/6,992.64
  6. Step 6: Final answer
    x = 5,528.65

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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.