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Finding the Fourth Proportional to 9,806.96, 13,533.54 and 5,615.21

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Solution

The fourth proportional to 9,806.96, 13,533.54 and 5,615.21 is: 7,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.96 : 13,533.54 = 5,615.21 : x
  2. Step 2: Convert to fraction form
    9,806.96/13,533.54 = 5,615.21/x
  3. Step 3: Cross multiply
    9,806.96x = 13,533.54 × 5,615.21
  4. Step 4: Simplify right side
    9,806.96x = 75,993,669.14
  5. Step 5: Solve for x
    x = 75,993,669.14/9,806.96
  6. Step 6: Final answer
    x = 7,748.95

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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.