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Finding the Fourth Proportional to 6,824.37, 9,416.86 and 3,840.14

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Solution

The fourth proportional to 6,824.37, 9,416.86 and 3,840.14 is: 5,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.37 : 9,416.86 = 3,840.14 : x
  2. Step 2: Convert to fraction form
    6,824.37/9,416.86 = 3,840.14/x
  3. Step 3: Cross multiply
    6,824.37x = 9,416.86 × 3,840.14
  4. Step 4: Simplify right side
    6,824.37x = 36,161,994.48
  5. Step 5: Solve for x
    x = 36,161,994.48/6,824.37
  6. Step 6: Final answer
    x = 5,298.95

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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.