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Finding the Fourth Proportional to 6,494.83, 8,962.23 and 3,661.94

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Solution

The fourth proportional to 6,494.83, 8,962.23 and 3,661.94 is: 5,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.83 : 8,962.23 = 3,661.94 : x
  2. Step 2: Convert to fraction form
    6,494.83/8,962.23 = 3,661.94/x
  3. Step 3: Cross multiply
    6,494.83x = 8,962.23 × 3,661.94
  4. Step 4: Simplify right side
    6,494.83x = 32,819,130.22
  5. Step 5: Solve for x
    x = 32,819,130.22/6,494.83
  6. Step 6: Final answer
    x = 5,053.12

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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.