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Finding the Fourth Proportional to 9,194.76, 13,802.94 and 4,814.28

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Solution

The fourth proportional to 9,194.76, 13,802.94 and 4,814.28 is: 7,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.76 : 13,802.94 = 4,814.28 : x
  2. Step 2: Convert to fraction form
    9,194.76/13,802.94 = 4,814.28/x
  3. Step 3: Cross multiply
    9,194.76x = 13,802.94 × 4,814.28
  4. Step 4: Simplify right side
    9,194.76x = 66,451,217.98
  5. Step 5: Solve for x
    x = 66,451,217.98/9,194.76
  6. Step 6: Final answer
    x = 7,227.07

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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.