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Finding the Fourth Proportional to 9,668.77, 14,483.64 and 8,104.36

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Solution

The fourth proportional to 9,668.77, 14,483.64 and 8,104.36 is: 12,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.77 : 14,483.64 = 8,104.36 : x
  2. Step 2: Convert to fraction form
    9,668.77/14,483.64 = 8,104.36/x
  3. Step 3: Cross multiply
    9,668.77x = 14,483.64 × 8,104.36
  4. Step 4: Simplify right side
    9,668.77x = 117,380,632.67
  5. Step 5: Solve for x
    x = 117,380,632.67/9,668.77
  6. Step 6: Final answer
    x = 12,140.18

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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.