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Finding the Fourth Proportional to 6,160.86, 9,223.47 and 5,466.15

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Solution

The fourth proportional to 6,160.86, 9,223.47 and 5,466.15 is: 8,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.86 : 9,223.47 = 5,466.15 : x
  2. Step 2: Convert to fraction form
    6,160.86/9,223.47 = 5,466.15/x
  3. Step 3: Cross multiply
    6,160.86x = 9,223.47 × 5,466.15
  4. Step 4: Simplify right side
    6,160.86x = 50,416,870.54
  5. Step 5: Solve for x
    x = 50,416,870.54/6,160.86
  6. Step 6: Final answer
    x = 8,183.41

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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.