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Finding the Fourth Proportional to 6,986.44, 9,637.95 and 4,296.43

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Solution

The fourth proportional to 6,986.44, 9,637.95 and 4,296.43 is: 5,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.44 : 9,637.95 = 4,296.43 : x
  2. Step 2: Convert to fraction form
    6,986.44/9,637.95 = 4,296.43/x
  3. Step 3: Cross multiply
    6,986.44x = 9,637.95 × 4,296.43
  4. Step 4: Simplify right side
    6,986.44x = 41,408,777.52
  5. Step 5: Solve for x
    x = 41,408,777.52/6,986.44
  6. Step 6: Final answer
    x = 5,927.02

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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.