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Finding the Fourth Proportional to 9,760.26, 14,629.26 and 4,134.42

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Solution

The fourth proportional to 9,760.26, 14,629.26 and 4,134.42 is: 6,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.26 : 14,629.26 = 4,134.42 : x
  2. Step 2: Convert to fraction form
    9,760.26/14,629.26 = 4,134.42/x
  3. Step 3: Cross multiply
    9,760.26x = 14,629.26 × 4,134.42
  4. Step 4: Simplify right side
    9,760.26x = 60,483,505.13
  5. Step 5: Solve for x
    x = 60,483,505.13/9,760.26
  6. Step 6: Final answer
    x = 6,196.92

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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.