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Finding the Fourth Proportional to 7,192.12, 9,921.92 and 4,206.64

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Solution

The fourth proportional to 7,192.12, 9,921.92 and 4,206.64 is: 5,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.12 : 9,921.92 = 4,206.64 : x
  2. Step 2: Convert to fraction form
    7,192.12/9,921.92 = 4,206.64/x
  3. Step 3: Cross multiply
    7,192.12x = 9,921.92 × 4,206.64
  4. Step 4: Simplify right side
    7,192.12x = 41,737,874.91
  5. Step 5: Solve for x
    x = 41,737,874.91/7,192.12
  6. Step 6: Final answer
    x = 5,803.28

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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.