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Finding the Fourth Proportional to 6,209.22, 9,307.62 and 3,437.14

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Solution

The fourth proportional to 6,209.22, 9,307.62 and 3,437.14 is: 5,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.22 : 9,307.62 = 3,437.14 : x
  2. Step 2: Convert to fraction form
    6,209.22/9,307.62 = 3,437.14/x
  3. Step 3: Cross multiply
    6,209.22x = 9,307.62 × 3,437.14
  4. Step 4: Simplify right side
    6,209.22x = 31,991,593.01
  5. Step 5: Solve for x
    x = 31,991,593.01/6,209.22
  6. Step 6: Final answer
    x = 5,152.27

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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.