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Finding the Fourth Proportional to 6,400.93, 8,836.77 and 4,422.14

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Solution

The fourth proportional to 6,400.93, 8,836.77 and 4,422.14 is: 6,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.93 : 8,836.77 = 4,422.14 : x
  2. Step 2: Convert to fraction form
    6,400.93/8,836.77 = 4,422.14/x
  3. Step 3: Cross multiply
    6,400.93x = 8,836.77 × 4,422.14
  4. Step 4: Simplify right side
    6,400.93x = 39,077,434.09
  5. Step 5: Solve for x
    x = 39,077,434.09/6,400.93
  6. Step 6: Final answer
    x = 6,104.96

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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.