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Finding the Fourth Proportional to 9,806.82, 13,533.40 and 5,330.56

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Solution

The fourth proportional to 9,806.82, 13,533.40 and 5,330.56 is: 7,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.82 : 13,533.40 = 5,330.56 : x
  2. Step 2: Convert to fraction form
    9,806.82/13,533.40 = 5,330.56/x
  3. Step 3: Cross multiply
    9,806.82x = 13,533.40 × 5,330.56
  4. Step 4: Simplify right side
    9,806.82x = 72,140,600.70
  5. Step 5: Solve for x
    x = 72,140,600.70/9,806.82
  6. Step 6: Final answer
    x = 7,356.17

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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.