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Finding the Fourth Proportional to 9,776.67, 13,492.02 and 5,796.33

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Solution

The fourth proportional to 9,776.67, 13,492.02 and 5,796.33 is: 7,999.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.67 : 13,492.02 = 5,796.33 : x
  2. Step 2: Convert to fraction form
    9,776.67/13,492.02 = 5,796.33/x
  3. Step 3: Cross multiply
    9,776.67x = 13,492.02 × 5,796.33
  4. Step 4: Simplify right side
    9,776.67x = 78,204,138.82
  5. Step 5: Solve for x
    x = 78,204,138.82/9,776.67
  6. Step 6: Final answer
    x = 7,999.06

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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.