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Finding the Fourth Proportional to 9,611.01, 14,420.84 and 5,221.89

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Solution

The fourth proportional to 9,611.01, 14,420.84 and 5,221.89 is: 7,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.01 : 14,420.84 = 5,221.89 : x
  2. Step 2: Convert to fraction form
    9,611.01/14,420.84 = 5,221.89/x
  3. Step 3: Cross multiply
    9,611.01x = 14,420.84 × 5,221.89
  4. Step 4: Simplify right side
    9,611.01x = 75,304,014.08
  5. Step 5: Solve for x
    x = 75,304,014.08/9,611.01
  6. Step 6: Final answer
    x = 7,835.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.