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Finding the Fourth Proportional to 9,760.63, 13,469.68 and 5,284.38

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Solution

The fourth proportional to 9,760.63, 13,469.68 and 5,284.38 is: 7,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.63 : 13,469.68 = 5,284.38 : x
  2. Step 2: Convert to fraction form
    9,760.63/13,469.68 = 5,284.38/x
  3. Step 3: Cross multiply
    9,760.63x = 13,469.68 × 5,284.38
  4. Step 4: Simplify right side
    9,760.63x = 71,178,914.85
  5. Step 5: Solve for x
    x = 71,178,914.85/9,760.63
  6. Step 6: Final answer
    x = 7,292.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.