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Finding the Fourth Proportional to 9,668.07, 13,335.11 and 8,228.76

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Solution

The fourth proportional to 9,668.07, 13,335.11 and 8,228.76 is: 11,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.07 : 13,335.11 = 8,228.76 : x
  2. Step 2: Convert to fraction form
    9,668.07/13,335.11 = 8,228.76/x
  3. Step 3: Cross multiply
    9,668.07x = 13,335.11 × 8,228.76
  4. Step 4: Simplify right side
    9,668.07x = 109,731,359.47
  5. Step 5: Solve for x
    x = 109,731,359.47/9,668.07
  6. Step 6: Final answer
    x = 11,349.87

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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.