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Finding the Fourth Proportional to 9,540.56, 14,314.94 and 4,613.88

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Solution

The fourth proportional to 9,540.56, 14,314.94 and 4,613.88 is: 6,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.56 : 14,314.94 = 4,613.88 : x
  2. Step 2: Convert to fraction form
    9,540.56/14,314.94 = 4,613.88/x
  3. Step 3: Cross multiply
    9,540.56x = 14,314.94 × 4,613.88
  4. Step 4: Simplify right side
    9,540.56x = 66,047,415.37
  5. Step 5: Solve for x
    x = 66,047,415.37/9,540.56
  6. Step 6: Final answer
    x = 6,922.80

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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.