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Finding the Fourth Proportional to 9,736.96, 14,599.68 and 3,814.24

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Solution

The fourth proportional to 9,736.96, 14,599.68 and 3,814.24 is: 5,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.96 : 14,599.68 = 3,814.24 : x
  2. Step 2: Convert to fraction form
    9,736.96/14,599.68 = 3,814.24/x
  3. Step 3: Cross multiply
    9,736.96x = 14,599.68 × 3,814.24
  4. Step 4: Simplify right side
    9,736.96x = 55,686,683.44
  5. Step 5: Solve for x
    x = 55,686,683.44/9,736.96
  6. Step 6: Final answer
    x = 5,719.10

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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.