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Finding the Fourth Proportional to 9,290.41, 13,919.37 and 7,740.37

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Solution

The fourth proportional to 9,290.41, 13,919.37 and 7,740.37 is: 11,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.41 : 13,919.37 = 7,740.37 : x
  2. Step 2: Convert to fraction form
    9,290.41/13,919.37 = 7,740.37/x
  3. Step 3: Cross multiply
    9,290.41x = 13,919.37 × 7,740.37
  4. Step 4: Simplify right side
    9,290.41x = 107,741,073.97
  5. Step 5: Solve for x
    x = 107,741,073.97/9,290.41
  6. Step 6: Final answer
    x = 11,597.02

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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.