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Finding the Fourth Proportional to 6,567.77, 9,851.66 and 2,185.22

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Solution

The fourth proportional to 6,567.77, 9,851.66 and 2,185.22 is: 3,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.77 : 9,851.66 = 2,185.22 : x
  2. Step 2: Convert to fraction form
    6,567.77/9,851.66 = 2,185.22/x
  3. Step 3: Cross multiply
    6,567.77x = 9,851.66 × 2,185.22
  4. Step 4: Simplify right side
    6,567.77x = 21,527,984.28
  5. Step 5: Solve for x
    x = 21,527,984.28/6,567.77
  6. Step 6: Final answer
    x = 3,277.82

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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.