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Finding the Fourth Proportional to 9,853.25, 14,789.59 and 5,965.25

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Solution

The fourth proportional to 9,853.25, 14,789.59 and 5,965.25 is: 8,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.25 : 14,789.59 = 5,965.25 : x
  2. Step 2: Convert to fraction form
    9,853.25/14,789.59 = 5,965.25/x
  3. Step 3: Cross multiply
    9,853.25x = 14,789.59 × 5,965.25
  4. Step 4: Simplify right side
    9,853.25x = 88,223,512.89
  5. Step 5: Solve for x
    x = 88,223,512.89/9,853.25
  6. Step 6: Final answer
    x = 8,953.75

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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.