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Finding the Fourth Proportional to 6,984.75, 9,637.77 and 4,295.07

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Solution

The fourth proportional to 6,984.75, 9,637.77 and 4,295.07 is: 5,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.75 : 9,637.77 = 4,295.07 : x
  2. Step 2: Convert to fraction form
    6,984.75/9,637.77 = 4,295.07/x
  3. Step 3: Cross multiply
    6,984.75x = 9,637.77 × 4,295.07
  4. Step 4: Simplify right side
    6,984.75x = 41,394,896.79
  5. Step 5: Solve for x
    x = 41,394,896.79/6,984.75
  6. Step 6: Final answer
    x = 5,926.47

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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.