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Finding the Fourth Proportional to 9,627.97, 14,467.34 and 5,188.94

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Solution

The fourth proportional to 9,627.97, 14,467.34 and 5,188.94 is: 7,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.97 : 14,467.34 = 5,188.94 : x
  2. Step 2: Convert to fraction form
    9,627.97/14,467.34 = 5,188.94/x
  3. Step 3: Cross multiply
    9,627.97x = 14,467.34 × 5,188.94
  4. Step 4: Simplify right side
    9,627.97x = 75,070,159.22
  5. Step 5: Solve for x
    x = 75,070,159.22/9,627.97
  6. Step 6: Final answer
    x = 7,797.09

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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.