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Finding the Fourth Proportional to 9,834.27, 14,675.88 and 8,783.29

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Solution

The fourth proportional to 9,834.27, 14,675.88 and 8,783.29 is: 13,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.27 : 14,675.88 = 8,783.29 : x
  2. Step 2: Convert to fraction form
    9,834.27/14,675.88 = 8,783.29/x
  3. Step 3: Cross multiply
    9,834.27x = 14,675.88 × 8,783.29
  4. Step 4: Simplify right side
    9,834.27x = 128,902,510.05
  5. Step 5: Solve for x
    x = 128,902,510.05/9,834.27
  6. Step 6: Final answer
    x = 13,107.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.