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Finding the Fourth Proportional to 9,550.08, 14,317.92 and 6,264

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Solution

The fourth proportional to 9,550.08, 14,317.92 and 6,264 is: 9,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.08 : 14,317.92 = 6,264 : x
  2. Step 2: Convert to fraction form
    9,550.08/14,317.92 = 6,264/x
  3. Step 3: Cross multiply
    9,550.08x = 14,317.92 × 6,264
  4. Step 4: Simplify right side
    9,550.08x = 89,687,450.88
  5. Step 5: Solve for x
    x = 89,687,450.88/9,550.08
  6. Step 6: Final answer
    x = 9,391.28

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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.