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Finding the Fourth Proportional to 9,662.06, 13,339.96 and 7,419.72

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Solution

The fourth proportional to 9,662.06, 13,339.96 and 7,419.72 is: 10,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.06 : 13,339.96 = 7,419.72 : x
  2. Step 2: Convert to fraction form
    9,662.06/13,339.96 = 7,419.72/x
  3. Step 3: Cross multiply
    9,662.06x = 13,339.96 × 7,419.72
  4. Step 4: Simplify right side
    9,662.06x = 98,978,768.01
  5. Step 5: Solve for x
    x = 98,978,768.01/9,662.06
  6. Step 6: Final answer
    x = 10,244.06

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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.