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Finding the Fourth Proportional to 9,163.42, 13,749.23 and 5,267.82

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Solution

The fourth proportional to 9,163.42, 13,749.23 and 5,267.82 is: 7,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.42 : 13,749.23 = 5,267.82 : x
  2. Step 2: Convert to fraction form
    9,163.42/13,749.23 = 5,267.82/x
  3. Step 3: Cross multiply
    9,163.42x = 13,749.23 × 5,267.82
  4. Step 4: Simplify right side
    9,163.42x = 72,428,533.51
  5. Step 5: Solve for x
    x = 72,428,533.51/9,163.42
  6. Step 6: Final answer
    x = 7,904.10

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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.