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Finding the Fourth Proportional to 9,680.11, 13,362.98 and 7,441.20

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Solution

The fourth proportional to 9,680.11, 13,362.98 and 7,441.20 is: 10,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.11 : 13,362.98 = 7,441.20 : x
  2. Step 2: Convert to fraction form
    9,680.11/13,362.98 = 7,441.20/x
  3. Step 3: Cross multiply
    9,680.11x = 13,362.98 × 7,441.20
  4. Step 4: Simplify right side
    9,680.11x = 99,436,569.57
  5. Step 5: Solve for x
    x = 99,436,569.57/9,680.11
  6. Step 6: Final answer
    x = 10,272.26

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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.