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Finding the Fourth Proportional to 9,550.94, 14,326.36 and 5,196.08

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Solution

The fourth proportional to 9,550.94, 14,326.36 and 5,196.08 is: 7,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.94 : 14,326.36 = 5,196.08 : x
  2. Step 2: Convert to fraction form
    9,550.94/14,326.36 = 5,196.08/x
  3. Step 3: Cross multiply
    9,550.94x = 14,326.36 × 5,196.08
  4. Step 4: Simplify right side
    9,550.94x = 74,440,912.67
  5. Step 5: Solve for x
    x = 74,440,912.67/9,550.94
  6. Step 6: Final answer
    x = 7,794.09

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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.