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Finding the Fourth Proportional to 6,823.22, 9,415.39 and 4,173.31

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Solution

The fourth proportional to 6,823.22, 9,415.39 and 4,173.31 is: 5,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.22 : 9,415.39 = 4,173.31 : x
  2. Step 2: Convert to fraction form
    6,823.22/9,415.39 = 4,173.31/x
  3. Step 3: Cross multiply
    6,823.22x = 9,415.39 × 4,173.31
  4. Step 4: Simplify right side
    6,823.22x = 39,293,341.24
  5. Step 5: Solve for x
    x = 39,293,341.24/6,823.22
  6. Step 6: Final answer
    x = 5,758.77

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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.