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Finding the Fourth Proportional to 9,862.80, 14,793.72 and 3,622.34

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Solution

The fourth proportional to 9,862.80, 14,793.72 and 3,622.34 is: 5,433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.80 : 14,793.72 = 3,622.34 : x
  2. Step 2: Convert to fraction form
    9,862.80/14,793.72 = 3,622.34/x
  3. Step 3: Cross multiply
    9,862.80x = 14,793.72 × 3,622.34
  4. Step 4: Simplify right side
    9,862.80x = 53,587,809.74
  5. Step 5: Solve for x
    x = 53,587,809.74/9,862.80
  6. Step 6: Final answer
    x = 5,433.33

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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.