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Finding the Fourth Proportional to 6,071.69, 9,102.63 and 2,559.43

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Solution

The fourth proportional to 6,071.69, 9,102.63 and 2,559.43 is: 3,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.69 : 9,102.63 = 2,559.43 : x
  2. Step 2: Convert to fraction form
    6,071.69/9,102.63 = 2,559.43/x
  3. Step 3: Cross multiply
    6,071.69x = 9,102.63 × 2,559.43
  4. Step 4: Simplify right side
    6,071.69x = 23,297,567.06
  5. Step 5: Solve for x
    x = 23,297,567.06/6,071.69
  6. Step 6: Final answer
    x = 3,837.08

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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.