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Finding the Fourth Proportional to 9,506.80, 14,261.42 and 5,122.27

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Solution

The fourth proportional to 9,506.80, 14,261.42 and 5,122.27 is: 7,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.80 : 14,261.42 = 5,122.27 : x
  2. Step 2: Convert to fraction form
    9,506.80/14,261.42 = 5,122.27/x
  3. Step 3: Cross multiply
    9,506.80x = 14,261.42 × 5,122.27
  4. Step 4: Simplify right side
    9,506.80x = 73,050,843.82
  5. Step 5: Solve for x
    x = 73,050,843.82/9,506.80
  6. Step 6: Final answer
    x = 7,684.06

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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.