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Finding the Fourth Proportional to 7,219.92, 9,969.12 and 5,652.48

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Solution

The fourth proportional to 7,219.92, 9,969.12 and 5,652.48 is: 7,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.92 : 9,969.12 = 5,652.48 : x
  2. Step 2: Convert to fraction form
    7,219.92/9,969.12 = 5,652.48/x
  3. Step 3: Cross multiply
    7,219.92x = 9,969.12 × 5,652.48
  4. Step 4: Simplify right side
    7,219.92x = 56,350,251.42
  5. Step 5: Solve for x
    x = 56,350,251.42/7,219.92
  6. Step 6: Final answer
    x = 7,804.83

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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.