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Finding the Fourth Proportional to 6,433.85, 8,879.34 and 4,642.80

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Solution

The fourth proportional to 6,433.85, 8,879.34 and 4,642.80 is: 6,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.85 : 8,879.34 = 4,642.80 : x
  2. Step 2: Convert to fraction form
    6,433.85/8,879.34 = 4,642.80/x
  3. Step 3: Cross multiply
    6,433.85x = 8,879.34 × 4,642.80
  4. Step 4: Simplify right side
    6,433.85x = 41,224,999.75
  5. Step 5: Solve for x
    x = 41,224,999.75/6,433.85
  6. Step 6: Final answer
    x = 6,407.52

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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.