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Finding the Fourth Proportional to 9,790.49, 13,504.73 and 5,808.78

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Solution

The fourth proportional to 9,790.49, 13,504.73 and 5,808.78 is: 8,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.49 : 13,504.73 = 5,808.78 : x
  2. Step 2: Convert to fraction form
    9,790.49/13,504.73 = 5,808.78/x
  3. Step 3: Cross multiply
    9,790.49x = 13,504.73 × 5,808.78
  4. Step 4: Simplify right side
    9,790.49x = 78,446,005.53
  5. Step 5: Solve for x
    x = 78,446,005.53/9,790.49
  6. Step 6: Final answer
    x = 8,012.47

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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.