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Finding the Fourth Proportional to 9,436.57, 14,134.71 and 7,190.44

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Solution

The fourth proportional to 9,436.57, 14,134.71 and 7,190.44 is: 10,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436.57 : 14,134.71 = 7,190.44 : x
  2. Step 2: Convert to fraction form
    9,436.57/14,134.71 = 7,190.44/x
  3. Step 3: Cross multiply
    9,436.57x = 14,134.71 × 7,190.44
  4. Step 4: Simplify right side
    9,436.57x = 101,634,784.17
  5. Step 5: Solve for x
    x = 101,634,784.17/9,436.57
  6. Step 6: Final answer
    x = 10,770.31

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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.