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Finding the Fourth Proportional to 9,627.66, 13,286.21 and 5,435.91

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Solution

The fourth proportional to 9,627.66, 13,286.21 and 5,435.91 is: 7,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.66 : 13,286.21 = 5,435.91 : x
  2. Step 2: Convert to fraction form
    9,627.66/13,286.21 = 5,435.91/x
  3. Step 3: Cross multiply
    9,627.66x = 13,286.21 × 5,435.91
  4. Step 4: Simplify right side
    9,627.66x = 72,222,614.62
  5. Step 5: Solve for x
    x = 72,222,614.62/9,627.66
  6. Step 6: Final answer
    x = 7,501.58

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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.