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Finding the Fourth Proportional to 9,200.63, 13,798.22 and 3,355.88

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Solution

The fourth proportional to 9,200.63, 13,798.22 and 3,355.88 is: 5,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.63 : 13,798.22 = 3,355.88 : x
  2. Step 2: Convert to fraction form
    9,200.63/13,798.22 = 3,355.88/x
  3. Step 3: Cross multiply
    9,200.63x = 13,798.22 × 3,355.88
  4. Step 4: Simplify right side
    9,200.63x = 46,305,084.76
  5. Step 5: Solve for x
    x = 46,305,084.76/9,200.63
  6. Step 6: Final answer
    x = 5,032.82

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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.