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Finding the Fourth Proportional to 9,472.34, 14,212.16 and 3,627.59

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Solution

The fourth proportional to 9,472.34, 14,212.16 and 3,627.59 is: 5,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.34 : 14,212.16 = 3,627.59 : x
  2. Step 2: Convert to fraction form
    9,472.34/14,212.16 = 3,627.59/x
  3. Step 3: Cross multiply
    9,472.34x = 14,212.16 × 3,627.59
  4. Step 4: Simplify right side
    9,472.34x = 51,555,813.90
  5. Step 5: Solve for x
    x = 51,555,813.90/9,472.34
  6. Step 6: Final answer
    x = 5,442.77

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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.