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Finding the Fourth Proportional to 9,148, 12,623.23 and 5,168.27

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Solution

The fourth proportional to 9,148, 12,623.23 and 5,168.27 is: 7,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148 : 12,623.23 = 5,168.27 : x
  2. Step 2: Convert to fraction form
    9,148/12,623.23 = 5,168.27/x
  3. Step 3: Cross multiply
    9,148x = 12,623.23 × 5,168.27
  4. Step 4: Simplify right side
    9,148x = 65,240,260.91
  5. Step 5: Solve for x
    x = 65,240,260.91/9,148
  6. Step 6: Final answer
    x = 7,131.64

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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.