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Finding the Fourth Proportional to 6,147.94, 9,222.18 and 1,765.48

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Solution

The fourth proportional to 6,147.94, 9,222.18 and 1,765.48 is: 2,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.94 : 9,222.18 = 1,765.48 : x
  2. Step 2: Convert to fraction form
    6,147.94/9,222.18 = 1,765.48/x
  3. Step 3: Cross multiply
    6,147.94x = 9,222.18 × 1,765.48
  4. Step 4: Simplify right side
    6,147.94x = 16,281,574.35
  5. Step 5: Solve for x
    x = 16,281,574.35/6,147.94
  6. Step 6: Final answer
    x = 2,648.30

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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.