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Finding the Fourth Proportional to 9,611.34, 14,417.01 and 5,227.62

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Solution

The fourth proportional to 9,611.34, 14,417.01 and 5,227.62 is: 7,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.34 : 14,417.01 = 5,227.62 : x
  2. Step 2: Convert to fraction form
    9,611.34/14,417.01 = 5,227.62/x
  3. Step 3: Cross multiply
    9,611.34x = 14,417.01 × 5,227.62
  4. Step 4: Simplify right side
    9,611.34x = 75,366,649.82
  5. Step 5: Solve for x
    x = 75,366,649.82/9,611.34
  6. Step 6: Final answer
    x = 7,841.43

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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.