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Finding the Fourth Proportional to 9,307.43, 13,963.43 and 4,629.65

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Solution

The fourth proportional to 9,307.43, 13,963.43 and 4,629.65 is: 6,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.43 : 13,963.43 = 4,629.65 : x
  2. Step 2: Convert to fraction form
    9,307.43/13,963.43 = 4,629.65/x
  3. Step 3: Cross multiply
    9,307.43x = 13,963.43 × 4,629.65
  4. Step 4: Simplify right side
    9,307.43x = 64,645,793.70
  5. Step 5: Solve for x
    x = 64,645,793.70/9,307.43
  6. Step 6: Final answer
    x = 6,945.61

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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.