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Finding the Fourth Proportional to 9,544.06, 13,164.14 and 9,222.94

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Solution

The fourth proportional to 9,544.06, 13,164.14 and 9,222.94 is: 12,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.06 : 13,164.14 = 9,222.94 : x
  2. Step 2: Convert to fraction form
    9,544.06/13,164.14 = 9,222.94/x
  3. Step 3: Cross multiply
    9,544.06x = 13,164.14 × 9,222.94
  4. Step 4: Simplify right side
    9,544.06x = 121,412,073.37
  5. Step 5: Solve for x
    x = 121,412,073.37/9,544.06
  6. Step 6: Final answer
    x = 12,721.22

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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.