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Finding the Fourth Proportional to 9,494.61, 14,250.86 and 4,817.98

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Solution

The fourth proportional to 9,494.61, 14,250.86 and 4,817.98 is: 7,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.61 : 14,250.86 = 4,817.98 : x
  2. Step 2: Convert to fraction form
    9,494.61/14,250.86 = 4,817.98/x
  3. Step 3: Cross multiply
    9,494.61x = 14,250.86 × 4,817.98
  4. Step 4: Simplify right side
    9,494.61x = 68,660,370.25
  5. Step 5: Solve for x
    x = 68,660,370.25/9,494.61
  6. Step 6: Final answer
    x = 7,231.51

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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.