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Finding the Fourth Proportional to 9,416.71, 14,125.16 and 2,491.21

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Solution

The fourth proportional to 9,416.71, 14,125.16 and 2,491.21 is: 3,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.71 : 14,125.16 = 2,491.21 : x
  2. Step 2: Convert to fraction form
    9,416.71/14,125.16 = 2,491.21/x
  3. Step 3: Cross multiply
    9,416.71x = 14,125.16 × 2,491.21
  4. Step 4: Simplify right side
    9,416.71x = 35,188,739.84
  5. Step 5: Solve for x
    x = 35,188,739.84/9,416.71
  6. Step 6: Final answer
    x = 3,736.84

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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.