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Finding the Fourth Proportional to 6,428.45, 9,642.68 and 2,532.75

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Solution

The fourth proportional to 6,428.45, 9,642.68 and 2,532.75 is: 3,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.45 : 9,642.68 = 2,532.75 : x
  2. Step 2: Convert to fraction form
    6,428.45/9,642.68 = 2,532.75/x
  3. Step 3: Cross multiply
    6,428.45x = 9,642.68 × 2,532.75
  4. Step 4: Simplify right side
    6,428.45x = 24,422,485.11
  5. Step 5: Solve for x
    x = 24,422,485.11/6,428.45
  6. Step 6: Final answer
    x = 3,799.13

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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.