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Finding the Fourth Proportional to 9,668.64, 13,327.20 and 6,519.36

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Solution

The fourth proportional to 9,668.64, 13,327.20 and 6,519.36 is: 8,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.64 : 13,327.20 = 6,519.36 : x
  2. Step 2: Convert to fraction form
    9,668.64/13,327.20 = 6,519.36/x
  3. Step 3: Cross multiply
    9,668.64x = 13,327.20 × 6,519.36
  4. Step 4: Simplify right side
    9,668.64x = 86,884,814.59
  5. Step 5: Solve for x
    x = 86,884,814.59/9,668.64
  6. Step 6: Final answer
    x = 8,986.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.