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Finding the Fourth Proportional to 9,825.96, 13,560.15 and 5,349.90

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Solution

The fourth proportional to 9,825.96, 13,560.15 and 5,349.90 is: 7,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.96 : 13,560.15 = 5,349.90 : x
  2. Step 2: Convert to fraction form
    9,825.96/13,560.15 = 5,349.90/x
  3. Step 3: Cross multiply
    9,825.96x = 13,560.15 × 5,349.90
  4. Step 4: Simplify right side
    9,825.96x = 72,545,446.49
  5. Step 5: Solve for x
    x = 72,545,446.49/9,825.96
  6. Step 6: Final answer
    x = 7,383.04

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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.