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Finding the Fourth Proportional to 9,469.06, 13,066.52 and 5,490.41

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Solution

The fourth proportional to 9,469.06, 13,066.52 and 5,490.41 is: 7,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.06 : 13,066.52 = 5,490.41 : x
  2. Step 2: Convert to fraction form
    9,469.06/13,066.52 = 5,490.41/x
  3. Step 3: Cross multiply
    9,469.06x = 13,066.52 × 5,490.41
  4. Step 4: Simplify right side
    9,469.06x = 71,740,552.07
  5. Step 5: Solve for x
    x = 71,740,552.07/9,469.06
  6. Step 6: Final answer
    x = 7,576.32

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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.