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Finding the Fourth Proportional to 6,182.88, 9,271.54 and 3,685.24

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Solution

The fourth proportional to 6,182.88, 9,271.54 and 3,685.24 is: 5,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.88 : 9,271.54 = 3,685.24 : x
  2. Step 2: Convert to fraction form
    6,182.88/9,271.54 = 3,685.24/x
  3. Step 3: Cross multiply
    6,182.88x = 9,271.54 × 3,685.24
  4. Step 4: Simplify right side
    6,182.88x = 34,167,850.07
  5. Step 5: Solve for x
    x = 34,167,850.07/6,182.88
  6. Step 6: Final answer
    x = 5,526.20

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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.