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Finding the Fourth Proportional to 9,202.10, 13,807.20 and 4,269.20

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Solution

The fourth proportional to 9,202.10, 13,807.20 and 4,269.20 is: 6,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.10 : 13,807.20 = 4,269.20 : x
  2. Step 2: Convert to fraction form
    9,202.10/13,807.20 = 4,269.20/x
  3. Step 3: Cross multiply
    9,202.10x = 13,807.20 × 4,269.20
  4. Step 4: Simplify right side
    9,202.10x = 58,945,698.24
  5. Step 5: Solve for x
    x = 58,945,698.24/9,202.10
  6. Step 6: Final answer
    x = 6,405.68

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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.