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Finding the Fourth Proportional to 6,301.71, 8,696.43 and 3,507.21

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Solution

The fourth proportional to 6,301.71, 8,696.43 and 3,507.21 is: 4,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.71 : 8,696.43 = 3,507.21 : x
  2. Step 2: Convert to fraction form
    6,301.71/8,696.43 = 3,507.21/x
  3. Step 3: Cross multiply
    6,301.71x = 8,696.43 × 3,507.21
  4. Step 4: Simplify right side
    6,301.71x = 30,500,206.26
  5. Step 5: Solve for x
    x = 30,500,206.26/6,301.71
  6. Step 6: Final answer
    x = 4,839.99

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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.