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Finding the Fourth Proportional to 6,977.50, 9,629.40 and 3,994.30

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Solution

The fourth proportional to 6,977.50, 9,629.40 and 3,994.30 is: 5,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.50 : 9,629.40 = 3,994.30 : x
  2. Step 2: Convert to fraction form
    6,977.50/9,629.40 = 3,994.30/x
  3. Step 3: Cross multiply
    6,977.50x = 9,629.40 × 3,994.30
  4. Step 4: Simplify right side
    6,977.50x = 38,462,712.42
  5. Step 5: Solve for x
    x = 38,462,712.42/6,977.50
  6. Step 6: Final answer
    x = 5,512.39

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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.