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Finding the Fourth Proportional to 9,759.34, 13,467.87 and 5,283.09

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Solution

The fourth proportional to 9,759.34, 13,467.87 and 5,283.09 is: 7,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.34 : 13,467.87 = 5,283.09 : x
  2. Step 2: Convert to fraction form
    9,759.34/13,467.87 = 5,283.09/x
  3. Step 3: Cross multiply
    9,759.34x = 13,467.87 × 5,283.09
  4. Step 4: Simplify right side
    9,759.34x = 71,151,969.32
  5. Step 5: Solve for x
    x = 71,151,969.32/9,759.34
  6. Step 6: Final answer
    x = 7,290.66

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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.