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Finding the Fourth Proportional to 9,630.91, 13,289.34 and 5,381.43

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Solution

The fourth proportional to 9,630.91, 13,289.34 and 5,381.43 is: 7,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.91 : 13,289.34 = 5,381.43 : x
  2. Step 2: Convert to fraction form
    9,630.91/13,289.34 = 5,381.43/x
  3. Step 3: Cross multiply
    9,630.91x = 13,289.34 × 5,381.43
  4. Step 4: Simplify right side
    9,630.91x = 71,515,652.96
  5. Step 5: Solve for x
    x = 71,515,652.96/9,630.91
  6. Step 6: Final answer
    x = 7,425.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.