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Finding the Fourth Proportional to 9,122.22, 12,588.62 and 5,144.63

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Solution

The fourth proportional to 9,122.22, 12,588.62 and 5,144.63 is: 7,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.22 : 12,588.62 = 5,144.63 : x
  2. Step 2: Convert to fraction form
    9,122.22/12,588.62 = 5,144.63/x
  3. Step 3: Cross multiply
    9,122.22x = 12,588.62 × 5,144.63
  4. Step 4: Simplify right side
    9,122.22x = 64,763,703.44
  5. Step 5: Solve for x
    x = 64,763,703.44/9,122.22
  6. Step 6: Final answer
    x = 7,099.56

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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.