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Finding the Fourth Proportional to 9,122.88, 12,588.82 and 5,144.98

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Solution

The fourth proportional to 9,122.88, 12,588.82 and 5,144.98 is: 7,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.88 : 12,588.82 = 5,144.98 : x
  2. Step 2: Convert to fraction form
    9,122.88/12,588.82 = 5,144.98/x
  3. Step 3: Cross multiply
    9,122.88x = 12,588.82 × 5,144.98
  4. Step 4: Simplify right side
    9,122.88x = 64,769,227.12
  5. Step 5: Solve for x
    x = 64,769,227.12/9,122.88
  6. Step 6: Final answer
    x = 7,099.65

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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.