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Finding the Fourth Proportional to 7,120, 9,825.60 and 3,976.21

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Solution

The fourth proportional to 7,120, 9,825.60 and 3,976.21 is: 5,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120 : 9,825.60 = 3,976.21 : x
  2. Step 2: Convert to fraction form
    7,120/9,825.60 = 3,976.21/x
  3. Step 3: Cross multiply
    7,120x = 9,825.60 × 3,976.21
  4. Step 4: Simplify right side
    7,120x = 39,068,648.98
  5. Step 5: Solve for x
    x = 39,068,648.98/7,120
  6. Step 6: Final answer
    x = 5,487.17

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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.