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Finding the Fourth Proportional to 8,942.00, 13,412.84 and 3,098.52

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Solution

The fourth proportional to 8,942.00, 13,412.84 and 3,098.52 is: 4,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.00 : 13,412.84 = 3,098.52 : x
  2. Step 2: Convert to fraction form
    8,942.00/13,412.84 = 3,098.52/x
  3. Step 3: Cross multiply
    8,942.00x = 13,412.84 × 3,098.52
  4. Step 4: Simplify right side
    8,942.00x = 41,559,937.50
  5. Step 5: Solve for x
    x = 41,559,937.50/8,942.00
  6. Step 6: Final answer
    x = 4,647.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.