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Finding the Fourth Proportional to 9,550.71, 14,317.94 and 3,624.29

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Solution

The fourth proportional to 9,550.71, 14,317.94 and 3,624.29 is: 5,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.71 : 14,317.94 = 3,624.29 : x
  2. Step 2: Convert to fraction form
    9,550.71/14,317.94 = 3,624.29/x
  3. Step 3: Cross multiply
    9,550.71x = 14,317.94 × 3,624.29
  4. Step 4: Simplify right side
    9,550.71x = 51,892,277.05
  5. Step 5: Solve for x
    x = 51,892,277.05/9,550.71
  6. Step 6: Final answer
    x = 5,433.34

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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.