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Finding the Fourth Proportional to 9,163.73, 12,646.29 and 5,335.06

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Solution

The fourth proportional to 9,163.73, 12,646.29 and 5,335.06 is: 7,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.73 : 12,646.29 = 5,335.06 : x
  2. Step 2: Convert to fraction form
    9,163.73/12,646.29 = 5,335.06/x
  3. Step 3: Cross multiply
    9,163.73x = 12,646.29 × 5,335.06
  4. Step 4: Simplify right side
    9,163.73x = 67,468,715.93
  5. Step 5: Solve for x
    x = 67,468,715.93/9,163.73
  6. Step 6: Final answer
    x = 7,362.58

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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.