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Finding the Fourth Proportional to 6,207.68, 9,312.40 and 1,825.44

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Solution

The fourth proportional to 6,207.68, 9,312.40 and 1,825.44 is: 2,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.68 : 9,312.40 = 1,825.44 : x
  2. Step 2: Convert to fraction form
    6,207.68/9,312.40 = 1,825.44/x
  3. Step 3: Cross multiply
    6,207.68x = 9,312.40 × 1,825.44
  4. Step 4: Simplify right side
    6,207.68x = 16,999,227.46
  5. Step 5: Solve for x
    x = 16,999,227.46/6,207.68
  6. Step 6: Final answer
    x = 2,738.42

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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.