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Finding the Fourth Proportional to 6,226.93, 9,345.70 and 3,106.01

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Solution

The fourth proportional to 6,226.93, 9,345.70 and 3,106.01 is: 4,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.93 : 9,345.70 = 3,106.01 : x
  2. Step 2: Convert to fraction form
    6,226.93/9,345.70 = 3,106.01/x
  3. Step 3: Cross multiply
    6,226.93x = 9,345.70 × 3,106.01
  4. Step 4: Simplify right side
    6,226.93x = 29,027,847.43
  5. Step 5: Solve for x
    x = 29,027,847.43/6,226.93
  6. Step 6: Final answer
    x = 4,661.67

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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.