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Finding the Fourth Proportional to 9,116.71, 13,668.21 and 3,857.87

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Solution

The fourth proportional to 9,116.71, 13,668.21 and 3,857.87 is: 5,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.71 : 13,668.21 = 3,857.87 : x
  2. Step 2: Convert to fraction form
    9,116.71/13,668.21 = 3,857.87/x
  3. Step 3: Cross multiply
    9,116.71x = 13,668.21 × 3,857.87
  4. Step 4: Simplify right side
    9,116.71x = 52,730,177.31
  5. Step 5: Solve for x
    x = 52,730,177.31/9,116.71
  6. Step 6: Final answer
    x = 5,783.90

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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.