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Finding the Fourth Proportional to 6,225.36, 9,336.84 and 2,065.44

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Solution

The fourth proportional to 6,225.36, 9,336.84 and 2,065.44 is: 3,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.36 : 9,336.84 = 2,065.44 : x
  2. Step 2: Convert to fraction form
    6,225.36/9,336.84 = 2,065.44/x
  3. Step 3: Cross multiply
    6,225.36x = 9,336.84 × 2,065.44
  4. Step 4: Simplify right side
    6,225.36x = 19,284,682.81
  5. Step 5: Solve for x
    x = 19,284,682.81/6,225.36
  6. Step 6: Final answer
    x = 3,097.76

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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.