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Finding the Fourth Proportional to 9,298.68, 12,832.20 and 5,320.56

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Solution

The fourth proportional to 9,298.68, 12,832.20 and 5,320.56 is: 7,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.68 : 12,832.20 = 5,320.56 : x
  2. Step 2: Convert to fraction form
    9,298.68/12,832.20 = 5,320.56/x
  3. Step 3: Cross multiply
    9,298.68x = 12,832.20 × 5,320.56
  4. Step 4: Simplify right side
    9,298.68x = 68,274,490.03
  5. Step 5: Solve for x
    x = 68,274,490.03/9,298.68
  6. Step 6: Final answer
    x = 7,342.39

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Why These Related Problems?

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