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Finding the Fourth Proportional to 9,143.88, 13,715.82 and 3,220.44

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Solution

The fourth proportional to 9,143.88, 13,715.82 and 3,220.44 is: 4,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.88 : 13,715.82 = 3,220.44 : x
  2. Step 2: Convert to fraction form
    9,143.88/13,715.82 = 3,220.44/x
  3. Step 3: Cross multiply
    9,143.88x = 13,715.82 × 3,220.44
  4. Step 4: Simplify right side
    9,143.88x = 44,170,975.36
  5. Step 5: Solve for x
    x = 44,170,975.36/9,143.88
  6. Step 6: Final answer
    x = 4,830.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.