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Finding the Fourth Proportional to 9,491.01, 14,222.67 and 6,716.18

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Solution

The fourth proportional to 9,491.01, 14,222.67 and 6,716.18 is: 10,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.01 : 14,222.67 = 6,716.18 : x
  2. Step 2: Convert to fraction form
    9,491.01/14,222.67 = 6,716.18/x
  3. Step 3: Cross multiply
    9,491.01x = 14,222.67 × 6,716.18
  4. Step 4: Simplify right side
    9,491.01x = 95,521,940.69
  5. Step 5: Solve for x
    x = 95,521,940.69/9,491.01
  6. Step 6: Final answer
    x = 10,064.47

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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.