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Finding the Fourth Proportional to 6,430.41, 8,876.52 and 4,194.21

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Solution

The fourth proportional to 6,430.41, 8,876.52 and 4,194.21 is: 5,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.41 : 8,876.52 = 4,194.21 : x
  2. Step 2: Convert to fraction form
    6,430.41/8,876.52 = 4,194.21/x
  3. Step 3: Cross multiply
    6,430.41x = 8,876.52 × 4,194.21
  4. Step 4: Simplify right side
    6,430.41x = 37,229,988.95
  5. Step 5: Solve for x
    x = 37,229,988.95/6,430.41
  6. Step 6: Final answer
    x = 5,789.68

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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.