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Finding the Fourth Proportional to 6,343.92, 9,501.77 and 4,489.43

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Solution

The fourth proportional to 6,343.92, 9,501.77 and 4,489.43 is: 6,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.92 : 9,501.77 = 4,489.43 : x
  2. Step 2: Convert to fraction form
    6,343.92/9,501.77 = 4,489.43/x
  3. Step 3: Cross multiply
    6,343.92x = 9,501.77 × 4,489.43
  4. Step 4: Simplify right side
    6,343.92x = 42,657,495.01
  5. Step 5: Solve for x
    x = 42,657,495.01/6,343.92
  6. Step 6: Final answer
    x = 6,724.15

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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.