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Finding the Fourth Proportional to 6,272.46, 9,408.99 and 5,174.79

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Solution

The fourth proportional to 6,272.46, 9,408.99 and 5,174.79 is: 7,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.46 : 9,408.99 = 5,174.79 : x
  2. Step 2: Convert to fraction form
    6,272.46/9,408.99 = 5,174.79/x
  3. Step 3: Cross multiply
    6,272.46x = 9,408.99 × 5,174.79
  4. Step 4: Simplify right side
    6,272.46x = 48,689,547.36
  5. Step 5: Solve for x
    x = 48,689,547.36/6,272.46
  6. Step 6: Final answer
    x = 7,762.43

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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.