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Finding the Fourth Proportional to 9,757.36, 14,632.40 and 3,515.68

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Solution

The fourth proportional to 9,757.36, 14,632.40 and 3,515.68 is: 5,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.36 : 14,632.40 = 3,515.68 : x
  2. Step 2: Convert to fraction form
    9,757.36/14,632.40 = 3,515.68/x
  3. Step 3: Cross multiply
    9,757.36x = 14,632.40 × 3,515.68
  4. Step 4: Simplify right side
    9,757.36x = 51,442,836.03
  5. Step 5: Solve for x
    x = 51,442,836.03/9,757.36
  6. Step 6: Final answer
    x = 5,272.21

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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.