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Finding the Fourth Proportional to 6,325.86, 9,486.36 and 4,372.14

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Solution

The fourth proportional to 6,325.86, 9,486.36 and 4,372.14 is: 6,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.86 : 9,486.36 = 4,372.14 : x
  2. Step 2: Convert to fraction form
    6,325.86/9,486.36 = 4,372.14/x
  3. Step 3: Cross multiply
    6,325.86x = 9,486.36 × 4,372.14
  4. Step 4: Simplify right side
    6,325.86x = 41,475,694.01
  5. Step 5: Solve for x
    x = 41,475,694.01/6,325.86
  6. Step 6: Final answer
    x = 6,556.53

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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.