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Finding the Fourth Proportional to 9,833.88, 14,743.11 and 6,706.11

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Solution

The fourth proportional to 9,833.88, 14,743.11 and 6,706.11 is: 10,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.88 : 14,743.11 = 6,706.11 : x
  2. Step 2: Convert to fraction form
    9,833.88/14,743.11 = 6,706.11/x
  3. Step 3: Cross multiply
    9,833.88x = 14,743.11 × 6,706.11
  4. Step 4: Simplify right side
    9,833.88x = 98,868,917.40
  5. Step 5: Solve for x
    x = 98,868,917.40/9,833.88
  6. Step 6: Final answer
    x = 10,053.91

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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.