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Finding the Fourth Proportional to 6,477.62, 8,943.41 and 4,982.90

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Solution

The fourth proportional to 6,477.62, 8,943.41 and 4,982.90 is: 6,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.62 : 8,943.41 = 4,982.90 : x
  2. Step 2: Convert to fraction form
    6,477.62/8,943.41 = 4,982.90/x
  3. Step 3: Cross multiply
    6,477.62x = 8,943.41 × 4,982.90
  4. Step 4: Simplify right side
    6,477.62x = 44,564,085.43
  5. Step 5: Solve for x
    x = 44,564,085.43/6,477.62
  6. Step 6: Final answer
    x = 6,879.71

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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.