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Finding the Fourth Proportional to 8,921.34, 13,365 and 6,149.52

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Solution

The fourth proportional to 8,921.34, 13,365 and 6,149.52 is: 9,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.34 : 13,365 = 6,149.52 : x
  2. Step 2: Convert to fraction form
    8,921.34/13,365 = 6,149.52/x
  3. Step 3: Cross multiply
    8,921.34x = 13,365 × 6,149.52
  4. Step 4: Simplify right side
    8,921.34x = 82,188,334.80
  5. Step 5: Solve for x
    x = 82,188,334.80/8,921.34
  6. Step 6: Final answer
    x = 9,212.55

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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.