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Finding the Fourth Proportional to 9,963.50, 13,750.95 and 6,436.97

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Solution

The fourth proportional to 9,963.50, 13,750.95 and 6,436.97 is: 8,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.50 : 13,750.95 = 6,436.97 : x
  2. Step 2: Convert to fraction form
    9,963.50/13,750.95 = 6,436.97/x
  3. Step 3: Cross multiply
    9,963.50x = 13,750.95 × 6,436.97
  4. Step 4: Simplify right side
    9,963.50x = 88,514,383.87
  5. Step 5: Solve for x
    x = 88,514,383.87/9,963.50
  6. Step 6: Final answer
    x = 8,883.87

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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.