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Finding the Fourth Proportional to 9,171.47, 12,628.29 and 7,163

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Solution

The fourth proportional to 9,171.47, 12,628.29 and 7,163 is: 9,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.47 : 12,628.29 = 7,163 : x
  2. Step 2: Convert to fraction form
    9,171.47/12,628.29 = 7,163/x
  3. Step 3: Cross multiply
    9,171.47x = 12,628.29 × 7,163
  4. Step 4: Simplify right side
    9,171.47x = 90,456,441.27
  5. Step 5: Solve for x
    x = 90,456,441.27/9,171.47
  6. Step 6: Final answer
    x = 9,862.81

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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.