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Finding the Fourth Proportional to 9,367.20, 14,023.80 and 6,208.20

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Solution

The fourth proportional to 9,367.20, 14,023.80 and 6,208.20 is: 9,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.20 : 14,023.80 = 6,208.20 : x
  2. Step 2: Convert to fraction form
    9,367.20/14,023.80 = 6,208.20/x
  3. Step 3: Cross multiply
    9,367.20x = 14,023.80 × 6,208.20
  4. Step 4: Simplify right side
    9,367.20x = 87,062,555.16
  5. Step 5: Solve for x
    x = 87,062,555.16/9,367.20
  6. Step 6: Final answer
    x = 9,294.41

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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.