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Finding the Fourth Proportional to 9,520.34, 13,137.57 and 5,213.31

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Solution

The fourth proportional to 9,520.34, 13,137.57 and 5,213.31 is: 7,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.34 : 13,137.57 = 5,213.31 : x
  2. Step 2: Convert to fraction form
    9,520.34/13,137.57 = 5,213.31/x
  3. Step 3: Cross multiply
    9,520.34x = 13,137.57 × 5,213.31
  4. Step 4: Simplify right side
    9,520.34x = 68,490,225.06
  5. Step 5: Solve for x
    x = 68,490,225.06/9,520.34
  6. Step 6: Final answer
    x = 7,194.09

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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.