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Finding the Fourth Proportional to 6,274.07, 9,411.58 and 2,114.09

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Solution

The fourth proportional to 6,274.07, 9,411.58 and 2,114.09 is: 3,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.07 : 9,411.58 = 2,114.09 : x
  2. Step 2: Convert to fraction form
    6,274.07/9,411.58 = 2,114.09/x
  3. Step 3: Cross multiply
    6,274.07x = 9,411.58 × 2,114.09
  4. Step 4: Simplify right side
    6,274.07x = 19,896,927.16
  5. Step 5: Solve for x
    x = 19,896,927.16/6,274.07
  6. Step 6: Final answer
    x = 3,171.30

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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.