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Finding the Fourth Proportional to 6,490.46, 9,728.73 and 4,635.95

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Solution

The fourth proportional to 6,490.46, 9,728.73 and 4,635.95 is: 6,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.46 : 9,728.73 = 4,635.95 : x
  2. Step 2: Convert to fraction form
    6,490.46/9,728.73 = 4,635.95/x
  3. Step 3: Cross multiply
    6,490.46x = 9,728.73 × 4,635.95
  4. Step 4: Simplify right side
    6,490.46x = 45,101,857.20
  5. Step 5: Solve for x
    x = 45,101,857.20/6,490.46
  6. Step 6: Final answer
    x = 6,948.95

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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.