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Finding the Fourth Proportional to 9,194.17, 13,771.80 and 7,630.46

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Solution

The fourth proportional to 9,194.17, 13,771.80 and 7,630.46 is: 11,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.17 : 13,771.80 = 7,630.46 : x
  2. Step 2: Convert to fraction form
    9,194.17/13,771.80 = 7,630.46/x
  3. Step 3: Cross multiply
    9,194.17x = 13,771.80 × 7,630.46
  4. Step 4: Simplify right side
    9,194.17x = 105,085,169.03
  5. Step 5: Solve for x
    x = 105,085,169.03/9,194.17
  6. Step 6: Final answer
    x = 11,429.54

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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.