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Finding the Fourth Proportional to 6,147.65, 9,222.24 and 1,765.19

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Solution

The fourth proportional to 6,147.65, 9,222.24 and 1,765.19 is: 2,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.65 : 9,222.24 = 1,765.19 : x
  2. Step 2: Convert to fraction form
    6,147.65/9,222.24 = 1,765.19/x
  3. Step 3: Cross multiply
    6,147.65x = 9,222.24 × 1,765.19
  4. Step 4: Simplify right side
    6,147.65x = 16,279,005.83
  5. Step 5: Solve for x
    x = 16,279,005.83/6,147.65
  6. Step 6: Final answer
    x = 2,648.00

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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.