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Finding the Fourth Proportional to 9,527.48, 14,266.38 and 7,668.44

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Solution

The fourth proportional to 9,527.48, 14,266.38 and 7,668.44 is: 11,482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.48 : 14,266.38 = 7,668.44 : x
  2. Step 2: Convert to fraction form
    9,527.48/14,266.38 = 7,668.44/x
  3. Step 3: Cross multiply
    9,527.48x = 14,266.38 × 7,668.44
  4. Step 4: Simplify right side
    9,527.48x = 109,400,879.05
  5. Step 5: Solve for x
    x = 109,400,879.05/9,527.48
  6. Step 6: Final answer
    x = 11,482.67

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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.