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Finding the Fourth Proportional to 7,949.14, 10,969.02 and 4,411.97

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Solution

The fourth proportional to 7,949.14, 10,969.02 and 4,411.97 is: 6,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.14 : 10,969.02 = 4,411.97 : x
  2. Step 2: Convert to fraction form
    7,949.14/10,969.02 = 4,411.97/x
  3. Step 3: Cross multiply
    7,949.14x = 10,969.02 × 4,411.97
  4. Step 4: Simplify right side
    7,949.14x = 48,394,973.46
  5. Step 5: Solve for x
    x = 48,394,973.46/7,949.14
  6. Step 6: Final answer
    x = 6,088.08

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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.