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Finding the Fourth Proportional to 6,984.49, 9,637.51 and 4,150.81

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Solution

The fourth proportional to 6,984.49, 9,637.51 and 4,150.81 is: 5,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.49 : 9,637.51 = 4,150.81 : x
  2. Step 2: Convert to fraction form
    6,984.49/9,637.51 = 4,150.81/x
  3. Step 3: Cross multiply
    6,984.49x = 9,637.51 × 4,150.81
  4. Step 4: Simplify right side
    6,984.49x = 40,003,472.88
  5. Step 5: Solve for x
    x = 40,003,472.88/6,984.49
  6. Step 6: Final answer
    x = 5,727.47

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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.