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Finding the Fourth Proportional to 9,703, 13,391.22 and 5,977

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Solution

The fourth proportional to 9,703, 13,391.22 and 5,977 is: 8,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703 : 13,391.22 = 5,977 : x
  2. Step 2: Convert to fraction form
    9,703/13,391.22 = 5,977/x
  3. Step 3: Cross multiply
    9,703x = 13,391.22 × 5,977
  4. Step 4: Simplify right side
    9,703x = 80,039,321.94
  5. Step 5: Solve for x
    x = 80,039,321.94/9,703
  6. Step 6: Final answer
    x = 8,248.93

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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.