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Finding the Fourth Proportional to 9,865.84, 13,620.36 and 6,845.44

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Solution

The fourth proportional to 9,865.84, 13,620.36 and 6,845.44 is: 9,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.84 : 13,620.36 = 6,845.44 : x
  2. Step 2: Convert to fraction form
    9,865.84/13,620.36 = 6,845.44/x
  3. Step 3: Cross multiply
    9,865.84x = 13,620.36 × 6,845.44
  4. Step 4: Simplify right side
    9,865.84x = 93,237,357.16
  5. Step 5: Solve for x
    x = 93,237,357.16/9,865.84
  6. Step 6: Final answer
    x = 9,450.52

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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.