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Finding the Fourth Proportional to 9,874.29, 13,624.63 and 5,625.26

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Solution

The fourth proportional to 9,874.29, 13,624.63 and 5,625.26 is: 7,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.29 : 13,624.63 = 5,625.26 : x
  2. Step 2: Convert to fraction form
    9,874.29/13,624.63 = 5,625.26/x
  3. Step 3: Cross multiply
    9,874.29x = 13,624.63 × 5,625.26
  4. Step 4: Simplify right side
    9,874.29x = 76,642,076.15
  5. Step 5: Solve for x
    x = 76,642,076.15/9,874.29
  6. Step 6: Final answer
    x = 7,761.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.