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Finding the Fourth Proportional to 9,502.03, 13,112.53 and 5,194.94

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Solution

The fourth proportional to 9,502.03, 13,112.53 and 5,194.94 is: 7,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.03 : 13,112.53 = 5,194.94 : x
  2. Step 2: Convert to fraction form
    9,502.03/13,112.53 = 5,194.94/x
  3. Step 3: Cross multiply
    9,502.03x = 13,112.53 × 5,194.94
  4. Step 4: Simplify right side
    9,502.03x = 68,118,806.60
  5. Step 5: Solve for x
    x = 68,118,806.60/9,502.03
  6. Step 6: Final answer
    x = 7,168.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.