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Finding the Fourth Proportional to 6,421.95, 9,632.78 and 2,959.20

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Solution

The fourth proportional to 6,421.95, 9,632.78 and 2,959.20 is: 4,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.95 : 9,632.78 = 2,959.20 : x
  2. Step 2: Convert to fraction form
    6,421.95/9,632.78 = 2,959.20/x
  3. Step 3: Cross multiply
    6,421.95x = 9,632.78 × 2,959.20
  4. Step 4: Simplify right side
    6,421.95x = 28,505,274.41
  5. Step 5: Solve for x
    x = 28,505,274.41/6,421.95
  6. Step 6: Final answer
    x = 4,438.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.