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Finding the Fourth Proportional to 9,729.60, 13,428.24 and 5,538.24

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Solution

The fourth proportional to 9,729.60, 13,428.24 and 5,538.24 is: 7,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.60 : 13,428.24 = 5,538.24 : x
  2. Step 2: Convert to fraction form
    9,729.60/13,428.24 = 5,538.24/x
  3. Step 3: Cross multiply
    9,729.60x = 13,428.24 × 5,538.24
  4. Step 4: Simplify right side
    9,729.60x = 74,368,815.90
  5. Step 5: Solve for x
    x = 74,368,815.90/9,729.60
  6. Step 6: Final answer
    x = 7,643.56

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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.