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Finding the Fourth Proportional to 6,232.32, 9,353.11 and 2,946.42

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Solution

The fourth proportional to 6,232.32, 9,353.11 and 2,946.42 is: 4,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.32 : 9,353.11 = 2,946.42 : x
  2. Step 2: Convert to fraction form
    6,232.32/9,353.11 = 2,946.42/x
  3. Step 3: Cross multiply
    6,232.32x = 9,353.11 × 2,946.42
  4. Step 4: Simplify right side
    6,232.32x = 27,558,190.37
  5. Step 5: Solve for x
    x = 27,558,190.37/6,232.32
  6. Step 6: Final answer
    x = 4,421.82

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