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Finding the Fourth Proportional to 6,353.64, 9,528.64 and 2,192.57

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Solution

The fourth proportional to 6,353.64, 9,528.64 and 2,192.57 is: 3,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.64 : 9,528.64 = 2,192.57 : x
  2. Step 2: Convert to fraction form
    6,353.64/9,528.64 = 2,192.57/x
  3. Step 3: Cross multiply
    6,353.64x = 9,528.64 × 2,192.57
  4. Step 4: Simplify right side
    6,353.64x = 20,892,192.81
  5. Step 5: Solve for x
    x = 20,892,192.81/6,353.64
  6. Step 6: Final answer
    x = 3,288.22

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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.