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Finding the Fourth Proportional to 12,349.67, 18,491.63 and 6,416.01

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Solution

The fourth proportional to 12,349.67, 18,491.63 and 6,416.01 is: 9,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.67 : 18,491.63 = 6,416.01 : x
  2. Step 2: Convert to fraction form
    12,349.67/18,491.63 = 6,416.01/x
  3. Step 3: Cross multiply
    12,349.67x = 18,491.63 × 6,416.01
  4. Step 4: Simplify right side
    12,349.67x = 118,642,450.92
  5. Step 5: Solve for x
    x = 118,642,450.92/12,349.67
  6. Step 6: Final answer
    x = 9,606.94

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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.