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Finding the Fourth Proportional to 7,061.97, 9,746.69 and 3,919.17

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Solution

The fourth proportional to 7,061.97, 9,746.69 and 3,919.17 is: 5,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.97 : 9,746.69 = 3,919.17 : x
  2. Step 2: Convert to fraction form
    7,061.97/9,746.69 = 3,919.17/x
  3. Step 3: Cross multiply
    7,061.97x = 9,746.69 × 3,919.17
  4. Step 4: Simplify right side
    7,061.97x = 38,198,935.05
  5. Step 5: Solve for x
    x = 38,198,935.05/7,061.97
  6. Step 6: Final answer
    x = 5,409.10

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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.