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Finding the Fourth Proportional to 7,309.92, 10,076.22 and 6,424.20

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Solution

The fourth proportional to 7,309.92, 10,076.22 and 6,424.20 is: 8,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.92 : 10,076.22 = 6,424.20 : x
  2. Step 2: Convert to fraction form
    7,309.92/10,076.22 = 6,424.20/x
  3. Step 3: Cross multiply
    7,309.92x = 10,076.22 × 6,424.20
  4. Step 4: Simplify right side
    7,309.92x = 64,731,652.52
  5. Step 5: Solve for x
    x = 64,731,652.52/7,309.92
  6. Step 6: Final answer
    x = 8,855.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.