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Finding the Fourth Proportional to 9,028.66, 13,531.44 and 7,853.75

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Solution

The fourth proportional to 9,028.66, 13,531.44 and 7,853.75 is: 11,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.66 : 13,531.44 = 7,853.75 : x
  2. Step 2: Convert to fraction form
    9,028.66/13,531.44 = 7,853.75/x
  3. Step 3: Cross multiply
    9,028.66x = 13,531.44 × 7,853.75
  4. Step 4: Simplify right side
    9,028.66x = 106,272,546.90
  5. Step 5: Solve for x
    x = 106,272,546.90/9,028.66
  6. Step 6: Final answer
    x = 11,770.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.