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Finding the Fourth Proportional to 9,979.54, 13,768.68 and 5,786.98

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Solution

The fourth proportional to 9,979.54, 13,768.68 and 5,786.98 is: 7,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.54 : 13,768.68 = 5,786.98 : x
  2. Step 2: Convert to fraction form
    9,979.54/13,768.68 = 5,786.98/x
  3. Step 3: Cross multiply
    9,979.54x = 13,768.68 × 5,786.98
  4. Step 4: Simplify right side
    9,979.54x = 79,679,075.79
  5. Step 5: Solve for x
    x = 79,679,075.79/9,979.54
  6. Step 6: Final answer
    x = 7,984.24

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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.