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Finding the Fourth Proportional to 6,983.76, 9,637.62 and 3,840.06

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Solution

The fourth proportional to 6,983.76, 9,637.62 and 3,840.06 is: 5,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.76 : 9,637.62 = 3,840.06 : x
  2. Step 2: Convert to fraction form
    6,983.76/9,637.62 = 3,840.06/x
  3. Step 3: Cross multiply
    6,983.76x = 9,637.62 × 3,840.06
  4. Step 4: Simplify right side
    6,983.76x = 37,009,039.06
  5. Step 5: Solve for x
    x = 37,009,039.06/6,983.76
  6. Step 6: Final answer
    x = 5,299.30

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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.