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Finding the Fourth Proportional to 7,944.69, 10,964.34 and 4,407.84

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Solution

The fourth proportional to 7,944.69, 10,964.34 and 4,407.84 is: 6,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.69 : 10,964.34 = 4,407.84 : x
  2. Step 2: Convert to fraction form
    7,944.69/10,964.34 = 4,407.84/x
  3. Step 3: Cross multiply
    7,944.69x = 10,964.34 × 4,407.84
  4. Step 4: Simplify right side
    7,944.69x = 48,329,056.43
  5. Step 5: Solve for x
    x = 48,329,056.43/7,944.69
  6. Step 6: Final answer
    x = 6,083.19

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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.