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Finding the Fourth Proportional to 9,000.02, 12,419.78 and 5,222.97

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Solution

The fourth proportional to 9,000.02, 12,419.78 and 5,222.97 is: 7,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.02 : 12,419.78 = 5,222.97 : x
  2. Step 2: Convert to fraction form
    9,000.02/12,419.78 = 5,222.97/x
  3. Step 3: Cross multiply
    9,000.02x = 12,419.78 × 5,222.97
  4. Step 4: Simplify right side
    9,000.02x = 64,868,112.23
  5. Step 5: Solve for x
    x = 64,868,112.23/9,000.02
  6. Step 6: Final answer
    x = 7,207.56

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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.