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Finding the Fourth Proportional to 6,822.63, 9,415.13 and 3,838.46

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Solution

The fourth proportional to 6,822.63, 9,415.13 and 3,838.46 is: 5,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.63 : 9,415.13 = 3,838.46 : x
  2. Step 2: Convert to fraction form
    6,822.63/9,415.13 = 3,838.46/x
  3. Step 3: Cross multiply
    6,822.63x = 9,415.13 × 3,838.46
  4. Step 4: Simplify right side
    6,822.63x = 36,139,533.63
  5. Step 5: Solve for x
    x = 36,139,533.63/6,822.63
  6. Step 6: Final answer
    x = 5,297.01

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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.