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Finding the Fourth Proportional to 9,613.96, 14,415.42 and 3,763.72

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Solution

The fourth proportional to 9,613.96, 14,415.42 and 3,763.72 is: 5,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.96 : 14,415.42 = 3,763.72 : x
  2. Step 2: Convert to fraction form
    9,613.96/14,415.42 = 3,763.72/x
  3. Step 3: Cross multiply
    9,613.96x = 14,415.42 × 3,763.72
  4. Step 4: Simplify right side
    9,613.96x = 54,255,604.56
  5. Step 5: Solve for x
    x = 54,255,604.56/9,613.96
  6. Step 6: Final answer
    x = 5,643.42

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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.