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Finding the Fourth Proportional to 6,926.40, 9,556.06 and 3,941.48

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Solution

The fourth proportional to 6,926.40, 9,556.06 and 3,941.48 is: 5,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.40 : 9,556.06 = 3,941.48 : x
  2. Step 2: Convert to fraction form
    6,926.40/9,556.06 = 3,941.48/x
  3. Step 3: Cross multiply
    6,926.40x = 9,556.06 × 3,941.48
  4. Step 4: Simplify right side
    6,926.40x = 37,665,023.55
  5. Step 5: Solve for x
    x = 37,665,023.55/6,926.40
  6. Step 6: Final answer
    x = 5,437.90

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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.