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Finding the Fourth Proportional to 9,205.56, 13,800.04 and 3,358.04

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Solution

The fourth proportional to 9,205.56, 13,800.04 and 3,358.04 is: 5,034.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.56 : 13,800.04 = 3,358.04 : x
  2. Step 2: Convert to fraction form
    9,205.56/13,800.04 = 3,358.04/x
  3. Step 3: Cross multiply
    9,205.56x = 13,800.04 × 3,358.04
  4. Step 4: Simplify right side
    9,205.56x = 46,341,086.32
  5. Step 5: Solve for x
    x = 46,341,086.32/9,205.56
  6. Step 6: Final answer
    x = 5,034.03

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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.