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Finding the Fourth Proportional to 6,822.08, 9,415.68 and 4,029.20

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Solution

The fourth proportional to 6,822.08, 9,415.68 and 4,029.20 is: 5,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.08 : 9,415.68 = 4,029.20 : x
  2. Step 2: Convert to fraction form
    6,822.08/9,415.68 = 4,029.20/x
  3. Step 3: Cross multiply
    6,822.08x = 9,415.68 × 4,029.20
  4. Step 4: Simplify right side
    6,822.08x = 37,937,657.86
  5. Step 5: Solve for x
    x = 37,937,657.86/6,822.08
  6. Step 6: Final answer
    x = 5,561.01

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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.