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Finding the Fourth Proportional to 6,472.00, 9,709.37 and 2,089.80

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Solution

The fourth proportional to 6,472.00, 9,709.37 and 2,089.80 is: 3,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.00 : 9,709.37 = 2,089.80 : x
  2. Step 2: Convert to fraction form
    6,472.00/9,709.37 = 2,089.80/x
  3. Step 3: Cross multiply
    6,472.00x = 9,709.37 × 2,089.80
  4. Step 4: Simplify right side
    6,472.00x = 20,290,638.81
  5. Step 5: Solve for x
    x = 20,290,638.81/6,472.00
  6. Step 6: Final answer
    x = 3,135.14

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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.