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Finding the Fourth Proportional to 9,194.70, 13,792.05 and 4,263.69

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Solution

The fourth proportional to 9,194.70, 13,792.05 and 4,263.69 is: 6,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.70 : 13,792.05 = 4,263.69 : x
  2. Step 2: Convert to fraction form
    9,194.70/13,792.05 = 4,263.69/x
  3. Step 3: Cross multiply
    9,194.70x = 13,792.05 × 4,263.69
  4. Step 4: Simplify right side
    9,194.70x = 58,805,025.66
  5. Step 5: Solve for x
    x = 58,805,025.66/9,194.70
  6. Step 6: Final answer
    x = 6,395.54

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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.