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Finding the Fourth Proportional to 9,163.47, 13,746.29 and 5,267.91

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Solution

The fourth proportional to 9,163.47, 13,746.29 and 5,267.91 is: 7,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.47 : 13,746.29 = 5,267.91 : x
  2. Step 2: Convert to fraction form
    9,163.47/13,746.29 = 5,267.91/x
  3. Step 3: Cross multiply
    9,163.47x = 13,746.29 × 5,267.91
  4. Step 4: Simplify right side
    9,163.47x = 72,414,192.21
  5. Step 5: Solve for x
    x = 72,414,192.21/9,163.47
  6. Step 6: Final answer
    x = 7,902.49

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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.