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Finding the Fourth Proportional to 9,933.84, 13,713.60 and 6,806.40

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Solution

The fourth proportional to 9,933.84, 13,713.60 and 6,806.40 is: 9,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.84 : 13,713.60 = 6,806.40 : x
  2. Step 2: Convert to fraction form
    9,933.84/13,713.60 = 6,806.40/x
  3. Step 3: Cross multiply
    9,933.84x = 13,713.60 × 6,806.40
  4. Step 4: Simplify right side
    9,933.84x = 93,340,247.04
  5. Step 5: Solve for x
    x = 93,340,247.04/9,933.84
  6. Step 6: Final answer
    x = 9,396.19

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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.