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Finding the Fourth Proportional to 6,994.10, 9,651.26 and 4,009.25

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Solution

The fourth proportional to 6,994.10, 9,651.26 and 4,009.25 is: 5,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.10 : 9,651.26 = 4,009.25 : x
  2. Step 2: Convert to fraction form
    6,994.10/9,651.26 = 4,009.25/x
  3. Step 3: Cross multiply
    6,994.10x = 9,651.26 × 4,009.25
  4. Step 4: Simplify right side
    6,994.10x = 38,694,275.92
  5. Step 5: Solve for x
    x = 38,694,275.92/6,994.10
  6. Step 6: Final answer
    x = 5,532.42

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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.