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Finding the Fourth Proportional to 6,113.08, 9,182.22 and 5,846.86

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Solution

The fourth proportional to 6,113.08, 9,182.22 and 5,846.86 is: 8,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.08 : 9,182.22 = 5,846.86 : x
  2. Step 2: Convert to fraction form
    6,113.08/9,182.22 = 5,846.86/x
  3. Step 3: Cross multiply
    6,113.08x = 9,182.22 × 5,846.86
  4. Step 4: Simplify right side
    6,113.08x = 53,687,154.83
  5. Step 5: Solve for x
    x = 53,687,154.83/6,113.08
  6. Step 6: Final answer
    x = 8,782.34

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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.