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Finding the Fourth Proportional to 9,627.69, 14,454.90 and 6,361.77

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Solution

The fourth proportional to 9,627.69, 14,454.90 and 6,361.77 is: 9,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.69 : 14,454.90 = 6,361.77 : x
  2. Step 2: Convert to fraction form
    9,627.69/14,454.90 = 6,361.77/x
  3. Step 3: Cross multiply
    9,627.69x = 14,454.90 × 6,361.77
  4. Step 4: Simplify right side
    9,627.69x = 91,958,749.17
  5. Step 5: Solve for x
    x = 91,958,749.17/9,627.69
  6. Step 6: Final answer
    x = 9,551.49

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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.