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Finding the Fourth Proportional to 6,328.58, 9,478.26 and 4,131.86

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Solution

The fourth proportional to 6,328.58, 9,478.26 and 4,131.86 is: 6,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.58 : 9,478.26 = 4,131.86 : x
  2. Step 2: Convert to fraction form
    6,328.58/9,478.26 = 4,131.86/x
  3. Step 3: Cross multiply
    6,328.58x = 9,478.26 × 4,131.86
  4. Step 4: Simplify right side
    6,328.58x = 39,162,795.97
  5. Step 5: Solve for x
    x = 39,162,795.97/6,328.58
  6. Step 6: Final answer
    x = 6,188.25

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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.