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Finding the Fourth Proportional to 6,823.50, 9,416.43 and 4,029

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Solution

The fourth proportional to 6,823.50, 9,416.43 and 4,029 is: 5,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.50 : 9,416.43 = 4,029 : x
  2. Step 2: Convert to fraction form
    6,823.50/9,416.43 = 4,029/x
  3. Step 3: Cross multiply
    6,823.50x = 9,416.43 × 4,029
  4. Step 4: Simplify right side
    6,823.50x = 37,938,796.47
  5. Step 5: Solve for x
    x = 37,938,796.47/6,823.50
  6. Step 6: Final answer
    x = 5,560.02

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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.