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Finding the Fourth Proportional to 9,223.54, 12,718.42 and 6,234.19

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Solution

The fourth proportional to 9,223.54, 12,718.42 and 6,234.19 is: 8,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.54 : 12,718.42 = 6,234.19 : x
  2. Step 2: Convert to fraction form
    9,223.54/12,718.42 = 6,234.19/x
  3. Step 3: Cross multiply
    9,223.54x = 12,718.42 × 6,234.19
  4. Step 4: Simplify right side
    9,223.54x = 79,288,999.40
  5. Step 5: Solve for x
    x = 79,288,999.40/9,223.54
  6. Step 6: Final answer
    x = 8,596.38

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Double scale
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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.