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Finding the Fourth Proportional to 9,641.73, 14,462.57 and 2,716.23

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Solution

The fourth proportional to 9,641.73, 14,462.57 and 2,716.23 is: 4,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.73 : 14,462.57 = 2,716.23 : x
  2. Step 2: Convert to fraction form
    9,641.73/14,462.57 = 2,716.23/x
  3. Step 3: Cross multiply
    9,641.73x = 14,462.57 × 2,716.23
  4. Step 4: Simplify right side
    9,641.73x = 39,283,652.93
  5. Step 5: Solve for x
    x = 39,283,652.93/9,641.73
  6. Step 6: Final answer
    x = 4,074.34

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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.