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Finding the Fourth Proportional to 6,932.14, 9,565.22 and 4,280.40

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Solution

The fourth proportional to 6,932.14, 9,565.22 and 4,280.40 is: 5,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.14 : 9,565.22 = 4,280.40 : x
  2. Step 2: Convert to fraction form
    6,932.14/9,565.22 = 4,280.40/x
  3. Step 3: Cross multiply
    6,932.14x = 9,565.22 × 4,280.40
  4. Step 4: Simplify right side
    6,932.14x = 40,942,978.39
  5. Step 5: Solve for x
    x = 40,942,978.39/6,932.14
  6. Step 6: Final answer
    x = 5,906.26

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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.