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Finding the Fourth Proportional to 9,613.67, 14,411.75 and 3,370.25

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Solution

The fourth proportional to 9,613.67, 14,411.75 and 3,370.25 is: 5,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.67 : 14,411.75 = 3,370.25 : x
  2. Step 2: Convert to fraction form
    9,613.67/14,411.75 = 3,370.25/x
  3. Step 3: Cross multiply
    9,613.67x = 14,411.75 × 3,370.25
  4. Step 4: Simplify right side
    9,613.67x = 48,571,200.44
  5. Step 5: Solve for x
    x = 48,571,200.44/9,613.67
  6. Step 6: Final answer
    x = 5,052.31

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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.