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Finding the Fourth Proportional to 9,972.86, 13,761.83 and 5,496.35

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Solution

The fourth proportional to 9,972.86, 13,761.83 and 5,496.35 is: 7,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.86 : 13,761.83 = 5,496.35 : x
  2. Step 2: Convert to fraction form
    9,972.86/13,761.83 = 5,496.35/x
  3. Step 3: Cross multiply
    9,972.86x = 13,761.83 × 5,496.35
  4. Step 4: Simplify right side
    9,972.86x = 75,639,834.32
  5. Step 5: Solve for x
    x = 75,639,834.32/9,972.86
  6. Step 6: Final answer
    x = 7,584.57

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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.