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Finding the Fourth Proportional to 6,490.86, 9,729.34 and 4,636.35

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Solution

The fourth proportional to 6,490.86, 9,729.34 and 4,636.35 is: 6,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.86 : 9,729.34 = 4,636.35 : x
  2. Step 2: Convert to fraction form
    6,490.86/9,729.34 = 4,636.35/x
  3. Step 3: Cross multiply
    6,490.86x = 9,729.34 × 4,636.35
  4. Step 4: Simplify right side
    6,490.86x = 45,108,649.83
  5. Step 5: Solve for x
    x = 45,108,649.83/6,490.86
  6. Step 6: Final answer
    x = 6,949.56

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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.