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Finding the Fourth Proportional to 9,838.35, 14,766.19 and 5,161.70

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Solution

The fourth proportional to 9,838.35, 14,766.19 and 5,161.70 is: 7,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.35 : 14,766.19 = 5,161.70 : x
  2. Step 2: Convert to fraction form
    9,838.35/14,766.19 = 5,161.70/x
  3. Step 3: Cross multiply
    9,838.35x = 14,766.19 × 5,161.70
  4. Step 4: Simplify right side
    9,838.35x = 76,218,642.92
  5. Step 5: Solve for x
    x = 76,218,642.92/9,838.35
  6. Step 6: Final answer
    x = 7,747.10

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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.