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Finding the Fourth Proportional to 9,292.93, 13,942.13 and 4,913.46

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Solution

The fourth proportional to 9,292.93, 13,942.13 and 4,913.46 is: 7,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.93 : 13,942.13 = 4,913.46 : x
  2. Step 2: Convert to fraction form
    9,292.93/13,942.13 = 4,913.46/x
  3. Step 3: Cross multiply
    9,292.93x = 13,942.13 × 4,913.46
  4. Step 4: Simplify right side
    9,292.93x = 68,504,073.50
  5. Step 5: Solve for x
    x = 68,504,073.50/9,292.93
  6. Step 6: Final answer
    x = 7,371.64

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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.