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Finding the Fourth Proportional to 9,716.24, 13,409.16 and 5,990

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Solution

The fourth proportional to 9,716.24, 13,409.16 and 5,990 is: 8,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.24 : 13,409.16 = 5,990 : x
  2. Step 2: Convert to fraction form
    9,716.24/13,409.16 = 5,990/x
  3. Step 3: Cross multiply
    9,716.24x = 13,409.16 × 5,990
  4. Step 4: Simplify right side
    9,716.24x = 80,320,868.40
  5. Step 5: Solve for x
    x = 80,320,868.40/9,716.24
  6. Step 6: Final answer
    x = 8,266.66

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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.