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Finding the Fourth Proportional to 6,827.76, 9,420.57 and 4,174.20

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Solution

The fourth proportional to 6,827.76, 9,420.57 and 4,174.20 is: 5,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.76 : 9,420.57 = 4,174.20 : x
  2. Step 2: Convert to fraction form
    6,827.76/9,420.57 = 4,174.20/x
  3. Step 3: Cross multiply
    6,827.76x = 9,420.57 × 4,174.20
  4. Step 4: Simplify right side
    6,827.76x = 39,323,343.29
  5. Step 5: Solve for x
    x = 39,323,343.29/6,827.76
  6. Step 6: Final answer
    x = 5,759.33

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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.