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Finding the Fourth Proportional to 9,806.17, 13,533.14 and 5,499.66

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Solution

The fourth proportional to 9,806.17, 13,533.14 and 5,499.66 is: 7,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.17 : 13,533.14 = 5,499.66 : x
  2. Step 2: Convert to fraction form
    9,806.17/13,533.14 = 5,499.66/x
  3. Step 3: Cross multiply
    9,806.17x = 13,533.14 × 5,499.66
  4. Step 4: Simplify right side
    9,806.17x = 74,427,626.17
  5. Step 5: Solve for x
    x = 74,427,626.17/9,806.17
  6. Step 6: Final answer
    x = 7,589.88

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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.