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Finding the Fourth Proportional to 9,206.30, 13,809.45 and 4,022.30

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Solution

The fourth proportional to 9,206.30, 13,809.45 and 4,022.30 is: 6,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.30 : 13,809.45 = 4,022.30 : x
  2. Step 2: Convert to fraction form
    9,206.30/13,809.45 = 4,022.30/x
  3. Step 3: Cross multiply
    9,206.30x = 13,809.45 × 4,022.30
  4. Step 4: Simplify right side
    9,206.30x = 55,545,750.74
  5. Step 5: Solve for x
    x = 55,545,750.74/9,206.30
  6. Step 6: Final answer
    x = 6,033.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.