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Finding the Fourth Proportional to 6,823.45, 9,416.82 and 5,141.89

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Solution

The fourth proportional to 6,823.45, 9,416.82 and 5,141.89 is: 7,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.45 : 9,416.82 = 5,141.89 : x
  2. Step 2: Convert to fraction form
    6,823.45/9,416.82 = 5,141.89/x
  3. Step 3: Cross multiply
    6,823.45x = 9,416.82 × 5,141.89
  4. Step 4: Simplify right side
    6,823.45x = 48,420,252.59
  5. Step 5: Solve for x
    x = 48,420,252.59/6,823.45
  6. Step 6: Final answer
    x = 7,096.15

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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.