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Finding the Fourth Proportional to 9,776.24, 13,490.88 and 5,794.98

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Solution

The fourth proportional to 9,776.24, 13,490.88 and 5,794.98 is: 7,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.24 : 13,490.88 = 5,794.98 : x
  2. Step 2: Convert to fraction form
    9,776.24/13,490.88 = 5,794.98/x
  3. Step 3: Cross multiply
    9,776.24x = 13,490.88 × 5,794.98
  4. Step 4: Simplify right side
    9,776.24x = 78,179,408.64
  5. Step 5: Solve for x
    x = 78,179,408.64/9,776.24
  6. Step 6: Final answer
    x = 7,996.88

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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.