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Finding the Fourth Proportional to 6,924.64, 9,556.24 and 3,940.40

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Solution

The fourth proportional to 6,924.64, 9,556.24 and 3,940.40 is: 5,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.64 : 9,556.24 = 3,940.40 : x
  2. Step 2: Convert to fraction form
    6,924.64/9,556.24 = 3,940.40/x
  3. Step 3: Cross multiply
    6,924.64x = 9,556.24 × 3,940.40
  4. Step 4: Simplify right side
    6,924.64x = 37,655,408.10
  5. Step 5: Solve for x
    x = 37,655,408.10/6,924.64
  6. Step 6: Final answer
    x = 5,437.89

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