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Finding the Fourth Proportional to 9,119.16, 13,668.94 and 6,514.20

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Solution

The fourth proportional to 9,119.16, 13,668.94 and 6,514.20 is: 9,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.16 : 13,668.94 = 6,514.20 : x
  2. Step 2: Convert to fraction form
    9,119.16/13,668.94 = 6,514.20/x
  3. Step 3: Cross multiply
    9,119.16x = 13,668.94 × 6,514.20
  4. Step 4: Simplify right side
    9,119.16x = 89,042,208.95
  5. Step 5: Solve for x
    x = 89,042,208.95/9,119.16
  6. Step 6: Final answer
    x = 9,764.30

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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.