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Finding the Fourth Proportional to 6,827.47, 9,416.51 and 4,469.15

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Solution

The fourth proportional to 6,827.47, 9,416.51 and 4,469.15 is: 6,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.47 : 9,416.51 = 4,469.15 : x
  2. Step 2: Convert to fraction form
    6,827.47/9,416.51 = 4,469.15/x
  3. Step 3: Cross multiply
    6,827.47x = 9,416.51 × 4,469.15
  4. Step 4: Simplify right side
    6,827.47x = 42,083,827.14
  5. Step 5: Solve for x
    x = 42,083,827.14/6,827.47
  6. Step 6: Final answer
    x = 6,163.90

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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.