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Finding the Fourth Proportional to 9,602.11, 14,412.16 and 5,911.55

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Solution

The fourth proportional to 9,602.11, 14,412.16 and 5,911.55 is: 8,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.11 : 14,412.16 = 5,911.55 : x
  2. Step 2: Convert to fraction form
    9,602.11/14,412.16 = 5,911.55/x
  3. Step 3: Cross multiply
    9,602.11x = 14,412.16 × 5,911.55
  4. Step 4: Simplify right side
    9,602.11x = 85,198,193.82
  5. Step 5: Solve for x
    x = 85,198,193.82/9,602.11
  6. Step 6: Final answer
    x = 8,872.86

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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.