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Finding the Fourth Proportional to 9,774.43, 13,486.36 and 5,796.52

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Solution

The fourth proportional to 9,774.43, 13,486.36 and 5,796.52 is: 7,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.43 : 13,486.36 = 5,796.52 : x
  2. Step 2: Convert to fraction form
    9,774.43/13,486.36 = 5,796.52/x
  3. Step 3: Cross multiply
    9,774.43x = 13,486.36 × 5,796.52
  4. Step 4: Simplify right side
    9,774.43x = 78,173,859.05
  5. Step 5: Solve for x
    x = 78,173,859.05/9,774.43
  6. Step 6: Final answer
    x = 7,997.80

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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.