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Finding the Fourth Proportional to 6,983.79, 9,637.70 and 3,840

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Solution

The fourth proportional to 6,983.79, 9,637.70 and 3,840 is: 5,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.79 : 9,637.70 = 3,840 : x
  2. Step 2: Convert to fraction form
    6,983.79/9,637.70 = 3,840/x
  3. Step 3: Cross multiply
    6,983.79x = 9,637.70 × 3,840
  4. Step 4: Simplify right side
    6,983.79x = 37,008,748.80
  5. Step 5: Solve for x
    x = 37,008,748.80/6,983.79
  6. Step 6: Final answer
    x = 5,299.24

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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.