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Finding the Fourth Proportional to 7,094.57, 9,790.80 and 3,950.75

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Solution

The fourth proportional to 7,094.57, 9,790.80 and 3,950.75 is: 5,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.57 : 9,790.80 = 3,950.75 : x
  2. Step 2: Convert to fraction form
    7,094.57/9,790.80 = 3,950.75/x
  3. Step 3: Cross multiply
    7,094.57x = 9,790.80 × 3,950.75
  4. Step 4: Simplify right side
    7,094.57x = 38,681,003.10
  5. Step 5: Solve for x
    x = 38,681,003.10/7,094.57
  6. Step 6: Final answer
    x = 5,452.20

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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.