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Finding the Fourth Proportional to 9,502.26, 14,254.24 and 3,266.60

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Solution

The fourth proportional to 9,502.26, 14,254.24 and 3,266.60 is: 4,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.26 : 14,254.24 = 3,266.60 : x
  2. Step 2: Convert to fraction form
    9,502.26/14,254.24 = 3,266.60/x
  3. Step 3: Cross multiply
    9,502.26x = 14,254.24 × 3,266.60
  4. Step 4: Simplify right side
    9,502.26x = 46,562,900.38
  5. Step 5: Solve for x
    x = 46,562,900.38/9,502.26
  6. Step 6: Final answer
    x = 4,900.19

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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.