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Finding the Fourth Proportional to 9,889.25, 13,651.94 and 6,358.46

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Solution

The fourth proportional to 9,889.25, 13,651.94 and 6,358.46 is: 8,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.25 : 13,651.94 = 6,358.46 : x
  2. Step 2: Convert to fraction form
    9,889.25/13,651.94 = 6,358.46/x
  3. Step 3: Cross multiply
    9,889.25x = 13,651.94 × 6,358.46
  4. Step 4: Simplify right side
    9,889.25x = 86,805,262.05
  5. Step 5: Solve for x
    x = 86,805,262.05/9,889.25
  6. Step 6: Final answer
    x = 8,777.74

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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.