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Finding the Fourth Proportional to 7,944.96, 10,964.16 and 4,632.96

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Solution

The fourth proportional to 7,944.96, 10,964.16 and 4,632.96 is: 6,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.96 : 10,964.16 = 4,632.96 : x
  2. Step 2: Convert to fraction form
    7,944.96/10,964.16 = 4,632.96/x
  3. Step 3: Cross multiply
    7,944.96x = 10,964.16 × 4,632.96
  4. Step 4: Simplify right side
    7,944.96x = 50,796,514.71
  5. Step 5: Solve for x
    x = 50,796,514.71/7,944.96
  6. Step 6: Final answer
    x = 6,393.55

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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.