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Finding the Fourth Proportional to 9,759.26, 13,467.77 and 5,283

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Solution

The fourth proportional to 9,759.26, 13,467.77 and 5,283 is: 7,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.26 : 13,467.77 = 5,283 : x
  2. Step 2: Convert to fraction form
    9,759.26/13,467.77 = 5,283/x
  3. Step 3: Cross multiply
    9,759.26x = 13,467.77 × 5,283
  4. Step 4: Simplify right side
    9,759.26x = 71,150,228.91
  5. Step 5: Solve for x
    x = 71,150,228.91/9,759.26
  6. Step 6: Final answer
    x = 7,290.54

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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.