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Finding the Fourth Proportional to 9,837.20, 14,734.20 and 8,541.20

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Solution

The fourth proportional to 9,837.20, 14,734.20 and 8,541.20 is: 12,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.20 : 14,734.20 = 8,541.20 : x
  2. Step 2: Convert to fraction form
    9,837.20/14,734.20 = 8,541.20/x
  3. Step 3: Cross multiply
    9,837.20x = 14,734.20 × 8,541.20
  4. Step 4: Simplify right side
    9,837.20x = 125,847,749.04
  5. Step 5: Solve for x
    x = 125,847,749.04/9,837.20
  6. Step 6: Final answer
    x = 12,793.05

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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.