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Finding the Fourth Proportional to 4,509.09, 6,763.65 and 1,222.20

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Solution

The fourth proportional to 4,509.09, 6,763.65 and 1,222.20 is: 1,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.09 : 6,763.65 = 1,222.20 : x
  2. Step 2: Convert to fraction form
    4,509.09/6,763.65 = 1,222.20/x
  3. Step 3: Cross multiply
    4,509.09x = 6,763.65 × 1,222.20
  4. Step 4: Simplify right side
    4,509.09x = 8,266,533.03
  5. Step 5: Solve for x
    x = 8,266,533.03/4,509.09
  6. Step 6: Final answer
    x = 1,833.30

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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.