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Finding the Fourth Proportional to 6,494.99, 8,962.72 and 3,662.82

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Solution

The fourth proportional to 6,494.99, 8,962.72 and 3,662.82 is: 5,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.99 : 8,962.72 = 3,662.82 : x
  2. Step 2: Convert to fraction form
    6,494.99/8,962.72 = 3,662.82/x
  3. Step 3: Cross multiply
    6,494.99x = 8,962.72 × 3,662.82
  4. Step 4: Simplify right side
    6,494.99x = 32,828,820.91
  5. Step 5: Solve for x
    x = 32,828,820.91/6,494.99
  6. Step 6: Final answer
    x = 5,054.49

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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.