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Finding the Fourth Proportional to 9,838.26, 14,740.97 and 6,911.33

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Solution

The fourth proportional to 9,838.26, 14,740.97 and 6,911.33 is: 10,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.26 : 14,740.97 = 6,911.33 : x
  2. Step 2: Convert to fraction form
    9,838.26/14,740.97 = 6,911.33/x
  3. Step 3: Cross multiply
    9,838.26x = 14,740.97 × 6,911.33
  4. Step 4: Simplify right side
    9,838.26x = 101,879,638.80
  5. Step 5: Solve for x
    x = 101,879,638.80/9,838.26
  6. Step 6: Final answer
    x = 10,355.45

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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.