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Finding the Fourth Proportional to 9,743.40, 14,625.90 and 6,049.80

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Solution

The fourth proportional to 9,743.40, 14,625.90 and 6,049.80 is: 9,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.40 : 14,625.90 = 6,049.80 : x
  2. Step 2: Convert to fraction form
    9,743.40/14,625.90 = 6,049.80/x
  3. Step 3: Cross multiply
    9,743.40x = 14,625.90 × 6,049.80
  4. Step 4: Simplify right side
    9,743.40x = 88,483,769.82
  5. Step 5: Solve for x
    x = 88,483,769.82/9,743.40
  6. Step 6: Final answer
    x = 9,081.41

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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.