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Finding the Fourth Proportional to 9,765.44, 13,476.24 and 5,289.09

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Solution

The fourth proportional to 9,765.44, 13,476.24 and 5,289.09 is: 7,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.44 : 13,476.24 = 5,289.09 : x
  2. Step 2: Convert to fraction form
    9,765.44/13,476.24 = 5,289.09/x
  3. Step 3: Cross multiply
    9,765.44x = 13,476.24 × 5,289.09
  4. Step 4: Simplify right side
    9,765.44x = 71,277,046.22
  5. Step 5: Solve for x
    x = 71,277,046.22/9,765.44
  6. Step 6: Final answer
    x = 7,298.91

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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.