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Finding the Fourth Proportional to 6,932.40, 9,556.83 and 4,278.30

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Solution

The fourth proportional to 6,932.40, 9,556.83 and 4,278.30 is: 5,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.40 : 9,556.83 = 4,278.30 : x
  2. Step 2: Convert to fraction form
    6,932.40/9,556.83 = 4,278.30/x
  3. Step 3: Cross multiply
    6,932.40x = 9,556.83 × 4,278.30
  4. Step 4: Simplify right side
    6,932.40x = 40,886,985.79
  5. Step 5: Solve for x
    x = 40,886,985.79/6,932.40
  6. Step 6: Final answer
    x = 5,897.96

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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.