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Finding the Fourth Proportional to 9,722.81, 14,562.33 and 6,814.10

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Solution

The fourth proportional to 9,722.81, 14,562.33 and 6,814.10 is: 10,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.81 : 14,562.33 = 6,814.10 : x
  2. Step 2: Convert to fraction form
    9,722.81/14,562.33 = 6,814.10/x
  3. Step 3: Cross multiply
    9,722.81x = 14,562.33 × 6,814.10
  4. Step 4: Simplify right side
    9,722.81x = 99,229,172.85
  5. Step 5: Solve for x
    x = 99,229,172.85/9,722.81
  6. Step 6: Final answer
    x = 10,205.81

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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.