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Finding the Fourth Proportional to 9,806.80, 14,697.40 and 4,541.20

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Solution

The fourth proportional to 9,806.80, 14,697.40 and 4,541.20 is: 6,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.80 : 14,697.40 = 4,541.20 : x
  2. Step 2: Convert to fraction form
    9,806.80/14,697.40 = 4,541.20/x
  3. Step 3: Cross multiply
    9,806.80x = 14,697.40 × 4,541.20
  4. Step 4: Simplify right side
    9,806.80x = 66,743,832.88
  5. Step 5: Solve for x
    x = 66,743,832.88/9,806.80
  6. Step 6: Final answer
    x = 6,805.87

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Why These Related Problems?

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