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Finding the Fourth Proportional to 6,411.71, 9,614.21 and 2,900.04

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Solution

The fourth proportional to 6,411.71, 9,614.21 and 2,900.04 is: 4,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.71 : 9,614.21 = 2,900.04 : x
  2. Step 2: Convert to fraction form
    6,411.71/9,614.21 = 2,900.04/x
  3. Step 3: Cross multiply
    6,411.71x = 9,614.21 × 2,900.04
  4. Step 4: Simplify right side
    6,411.71x = 27,881,559.33
  5. Step 5: Solve for x
    x = 27,881,559.33/6,411.71
  6. Step 6: Final answer
    x = 4,348.54

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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.