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Finding the Fourth Proportional to 9,200.20, 13,792.54 and 4,002.20

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Solution

The fourth proportional to 9,200.20, 13,792.54 and 4,002.20 is: 5,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.20 : 13,792.54 = 4,002.20 : x
  2. Step 2: Convert to fraction form
    9,200.20/13,792.54 = 4,002.20/x
  3. Step 3: Cross multiply
    9,200.20x = 13,792.54 × 4,002.20
  4. Step 4: Simplify right side
    9,200.20x = 55,200,503.59
  5. Step 5: Solve for x
    x = 55,200,503.59/9,200.20
  6. Step 6: Final answer
    x = 5,999.92

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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.