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Finding the Fourth Proportional to 9,662.06, 13,339.95 and 7,419.71

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Solution

The fourth proportional to 9,662.06, 13,339.95 and 7,419.71 is: 10,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.06 : 13,339.95 = 7,419.71 : x
  2. Step 2: Convert to fraction form
    9,662.06/13,339.95 = 7,419.71/x
  3. Step 3: Cross multiply
    9,662.06x = 13,339.95 × 7,419.71
  4. Step 4: Simplify right side
    9,662.06x = 98,978,560.41
  5. Step 5: Solve for x
    x = 98,978,560.41/9,662.06
  6. Step 6: Final answer
    x = 10,244.04

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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.