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Finding the Fourth Proportional to 6,423.86, 8,867.37 and 4,186.28

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Solution

The fourth proportional to 6,423.86, 8,867.37 and 4,186.28 is: 5,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.86 : 8,867.37 = 4,186.28 : x
  2. Step 2: Convert to fraction form
    6,423.86/8,867.37 = 4,186.28/x
  3. Step 3: Cross multiply
    6,423.86x = 8,867.37 × 4,186.28
  4. Step 4: Simplify right side
    6,423.86x = 37,121,331.55
  5. Step 5: Solve for x
    x = 37,121,331.55/6,423.86
  6. Step 6: Final answer
    x = 5,778.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.