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Finding the Fourth Proportional to 9,651.80, 14,477.98 and 3,410.94

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Solution

The fourth proportional to 9,651.80, 14,477.98 and 3,410.94 is: 5,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.80 : 14,477.98 = 3,410.94 : x
  2. Step 2: Convert to fraction form
    9,651.80/14,477.98 = 3,410.94/x
  3. Step 3: Cross multiply
    9,651.80x = 14,477.98 × 3,410.94
  4. Step 4: Simplify right side
    9,651.80x = 49,383,521.10
  5. Step 5: Solve for x
    x = 49,383,521.10/9,651.80
  6. Step 6: Final answer
    x = 5,116.51

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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.