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Finding the Fourth Proportional to 6,072.65, 9,106.34 and 2,564.22

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Solution

The fourth proportional to 6,072.65, 9,106.34 and 2,564.22 is: 3,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.65 : 9,106.34 = 2,564.22 : x
  2. Step 2: Convert to fraction form
    6,072.65/9,106.34 = 2,564.22/x
  3. Step 3: Cross multiply
    6,072.65x = 9,106.34 × 2,564.22
  4. Step 4: Simplify right side
    6,072.65x = 23,350,646.33
  5. Step 5: Solve for x
    x = 23,350,646.33/6,072.65
  6. Step 6: Final answer
    x = 3,845.22

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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.