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Finding the Fourth Proportional to 6,428.07, 9,643.71 and 2,532.78

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Solution

The fourth proportional to 6,428.07, 9,643.71 and 2,532.78 is: 3,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.07 : 9,643.71 = 2,532.78 : x
  2. Step 2: Convert to fraction form
    6,428.07/9,643.71 = 2,532.78/x
  3. Step 3: Cross multiply
    6,428.07x = 9,643.71 × 2,532.78
  4. Step 4: Simplify right side
    6,428.07x = 24,425,395.81
  5. Step 5: Solve for x
    x = 24,425,395.81/6,428.07
  6. Step 6: Final answer
    x = 3,799.80

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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.