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Finding the Fourth Proportional to 9,697.44, 14,544.31 and 2,675.71

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Solution

The fourth proportional to 9,697.44, 14,544.31 and 2,675.71 is: 4,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.44 : 14,544.31 = 2,675.71 : x
  2. Step 2: Convert to fraction form
    9,697.44/14,544.31 = 2,675.71/x
  3. Step 3: Cross multiply
    9,697.44x = 14,544.31 × 2,675.71
  4. Step 4: Simplify right side
    9,697.44x = 38,916,355.71
  5. Step 5: Solve for x
    x = 38,916,355.71/9,697.44
  6. Step 6: Final answer
    x = 4,013.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.