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Finding the Fourth Proportional to 9,396.94, 12,969.21 and 5,363.75

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Solution

The fourth proportional to 9,396.94, 12,969.21 and 5,363.75 is: 7,402.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.94 : 12,969.21 = 5,363.75 : x
  2. Step 2: Convert to fraction form
    9,396.94/12,969.21 = 5,363.75/x
  3. Step 3: Cross multiply
    9,396.94x = 12,969.21 × 5,363.75
  4. Step 4: Simplify right side
    9,396.94x = 69,563,600.14
  5. Step 5: Solve for x
    x = 69,563,600.14/9,396.94
  6. Step 6: Final answer
    x = 7,402.79

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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.