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Finding the Fourth Proportional to 6,272.66, 9,408.99 and 5,097.08

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Solution

The fourth proportional to 6,272.66, 9,408.99 and 5,097.08 is: 7,645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.66 : 9,408.99 = 5,097.08 : x
  2. Step 2: Convert to fraction form
    6,272.66/9,408.99 = 5,097.08/x
  3. Step 3: Cross multiply
    6,272.66x = 9,408.99 × 5,097.08
  4. Step 4: Simplify right side
    6,272.66x = 47,958,374.75
  5. Step 5: Solve for x
    x = 47,958,374.75/6,272.66
  6. Step 6: Final answer
    x = 7,645.62

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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.