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Finding the Fourth Proportional to 6,354.54, 9,526.14 and 3,232.80

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Solution

The fourth proportional to 6,354.54, 9,526.14 and 3,232.80 is: 4,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.54 : 9,526.14 = 3,232.80 : x
  2. Step 2: Convert to fraction form
    6,354.54/9,526.14 = 3,232.80/x
  3. Step 3: Cross multiply
    6,354.54x = 9,526.14 × 3,232.80
  4. Step 4: Simplify right side
    6,354.54x = 30,796,105.39
  5. Step 5: Solve for x
    x = 30,796,105.39/6,354.54
  6. Step 6: Final answer
    x = 4,846.32

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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.