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Finding the Fourth Proportional to 6,510.42, 9,769.07 and 3,550.99

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Solution

The fourth proportional to 6,510.42, 9,769.07 and 3,550.99 is: 5,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.42 : 9,769.07 = 3,550.99 : x
  2. Step 2: Convert to fraction form
    6,510.42/9,769.07 = 3,550.99/x
  3. Step 3: Cross multiply
    6,510.42x = 9,769.07 × 3,550.99
  4. Step 4: Simplify right side
    6,510.42x = 34,689,869.88
  5. Step 5: Solve for x
    x = 34,689,869.88/6,510.42
  6. Step 6: Final answer
    x = 5,328.36

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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.