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Finding the Fourth Proportional to 6,343.20, 9,471.63 and 5,596.58

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Solution

The fourth proportional to 6,343.20, 9,471.63 and 5,596.58 is: 8,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.20 : 9,471.63 = 5,596.58 : x
  2. Step 2: Convert to fraction form
    6,343.20/9,471.63 = 5,596.58/x
  3. Step 3: Cross multiply
    6,343.20x = 9,471.63 × 5,596.58
  4. Step 4: Simplify right side
    6,343.20x = 53,008,748.21
  5. Step 5: Solve for x
    x = 53,008,748.21/6,343.20
  6. Step 6: Final answer
    x = 8,356.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.