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Finding the Fourth Proportional to 9,812.16, 13,540.84 and 5,335.96

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Solution

The fourth proportional to 9,812.16, 13,540.84 and 5,335.96 is: 7,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.16 : 13,540.84 = 5,335.96 : x
  2. Step 2: Convert to fraction form
    9,812.16/13,540.84 = 5,335.96/x
  3. Step 3: Cross multiply
    9,812.16x = 13,540.84 × 5,335.96
  4. Step 4: Simplify right side
    9,812.16x = 72,253,299.56
  5. Step 5: Solve for x
    x = 72,253,299.56/9,812.16
  6. Step 6: Final answer
    x = 7,363.65

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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.