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Finding the Fourth Proportional to 9,163.12, 13,746.81 and 3,898.42

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Solution

The fourth proportional to 9,163.12, 13,746.81 and 3,898.42 is: 5,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.12 : 13,746.81 = 3,898.42 : x
  2. Step 2: Convert to fraction form
    9,163.12/13,746.81 = 3,898.42/x
  3. Step 3: Cross multiply
    9,163.12x = 13,746.81 × 3,898.42
  4. Step 4: Simplify right side
    9,163.12x = 53,590,839.04
  5. Step 5: Solve for x
    x = 53,590,839.04/9,163.12
  6. Step 6: Final answer
    x = 5,848.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.