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Finding the Fourth Proportional to 9,834.76, 14,744.42 and 6,706.99

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Solution

The fourth proportional to 9,834.76, 14,744.42 and 6,706.99 is: 10,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.76 : 14,744.42 = 6,706.99 : x
  2. Step 2: Convert to fraction form
    9,834.76/14,744.42 = 6,706.99/x
  3. Step 3: Cross multiply
    9,834.76x = 14,744.42 × 6,706.99
  4. Step 4: Simplify right side
    9,834.76x = 98,890,620.54
  5. Step 5: Solve for x
    x = 98,890,620.54/9,834.76
  6. Step 6: Final answer
    x = 10,055.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.