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Finding the Fourth Proportional to 9,400.92, 14,092 and 4,706.60

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Solution

The fourth proportional to 9,400.92, 14,092 and 4,706.60 is: 7,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.92 : 14,092 = 4,706.60 : x
  2. Step 2: Convert to fraction form
    9,400.92/14,092 = 4,706.60/x
  3. Step 3: Cross multiply
    9,400.92x = 14,092 × 4,706.60
  4. Step 4: Simplify right side
    9,400.92x = 66,325,407.20
  5. Step 5: Solve for x
    x = 66,325,407.20/9,400.92
  6. Step 6: Final answer
    x = 7,055.20

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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.