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Finding the Fourth Proportional to 6,827.22, 9,419.88 and 4,173.66

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Solution

The fourth proportional to 6,827.22, 9,419.88 and 4,173.66 is: 5,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.22 : 9,419.88 = 4,173.66 : x
  2. Step 2: Convert to fraction form
    6,827.22/9,419.88 = 4,173.66/x
  3. Step 3: Cross multiply
    6,827.22x = 9,419.88 × 4,173.66
  4. Step 4: Simplify right side
    6,827.22x = 39,315,376.36
  5. Step 5: Solve for x
    x = 39,315,376.36/6,827.22
  6. Step 6: Final answer
    x = 5,758.62

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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.