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Finding the Fourth Proportional to 9,522.34, 13,140.33 and 5,215.31

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Solution

The fourth proportional to 9,522.34, 13,140.33 and 5,215.31 is: 7,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.34 : 13,140.33 = 5,215.31 : x
  2. Step 2: Convert to fraction form
    9,522.34/13,140.33 = 5,215.31/x
  3. Step 3: Cross multiply
    9,522.34x = 13,140.33 × 5,215.31
  4. Step 4: Simplify right side
    9,522.34x = 68,530,894.45
  5. Step 5: Solve for x
    x = 68,530,894.45/9,522.34
  6. Step 6: Final answer
    x = 7,196.85

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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.