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Finding the Fourth Proportional to 9,469.78, 13,068.03 and 5,934.94

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Solution

The fourth proportional to 9,469.78, 13,068.03 and 5,934.94 is: 8,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.78 : 13,068.03 = 5,934.94 : x
  2. Step 2: Convert to fraction form
    9,469.78/13,068.03 = 5,934.94/x
  3. Step 3: Cross multiply
    9,469.78x = 13,068.03 × 5,934.94
  4. Step 4: Simplify right side
    9,469.78x = 77,557,973.97
  5. Step 5: Solve for x
    x = 77,557,973.97/9,469.78
  6. Step 6: Final answer
    x = 8,190.05

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1.5x scale

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.