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Finding the Fourth Proportional to 9,828.13, 13,553.93 and 6,469.70

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Solution

The fourth proportional to 9,828.13, 13,553.93 and 6,469.70 is: 8,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.13 : 13,553.93 = 6,469.70 : x
  2. Step 2: Convert to fraction form
    9,828.13/13,553.93 = 6,469.70/x
  3. Step 3: Cross multiply
    9,828.13x = 13,553.93 × 6,469.70
  4. Step 4: Simplify right side
    9,828.13x = 87,689,823.76
  5. Step 5: Solve for x
    x = 87,689,823.76/9,828.13
  6. Step 6: Final answer
    x = 8,922.33

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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.