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Finding the Fourth Proportional to 9,454.94, 14,163.56 and 6,486.10

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Solution

The fourth proportional to 9,454.94, 14,163.56 and 6,486.10 is: 9,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.94 : 14,163.56 = 6,486.10 : x
  2. Step 2: Convert to fraction form
    9,454.94/14,163.56 = 6,486.10/x
  3. Step 3: Cross multiply
    9,454.94x = 14,163.56 × 6,486.10
  4. Step 4: Simplify right side
    9,454.94x = 91,866,266.52
  5. Step 5: Solve for x
    x = 91,866,266.52/9,454.94
  6. Step 6: Final answer
    x = 9,716.22

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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.