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Finding the Fourth Proportional to 6,983.76, 9,637.20 and 3,840

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Solution

The fourth proportional to 6,983.76, 9,637.20 and 3,840 is: 5,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.76 : 9,637.20 = 3,840 : x
  2. Step 2: Convert to fraction form
    6,983.76/9,637.20 = 3,840/x
  3. Step 3: Cross multiply
    6,983.76x = 9,637.20 × 3,840
  4. Step 4: Simplify right side
    6,983.76x = 37,006,848
  5. Step 5: Solve for x
    x = 37,006,848/6,983.76
  6. Step 6: Final answer
    x = 5,298.99

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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.