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Finding the Fourth Proportional to 9,768.63, 14,643.96 and 3,527.17

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Solution

The fourth proportional to 9,768.63, 14,643.96 and 3,527.17 is: 5,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.63 : 14,643.96 = 3,527.17 : x
  2. Step 2: Convert to fraction form
    9,768.63/14,643.96 = 3,527.17/x
  3. Step 3: Cross multiply
    9,768.63x = 14,643.96 × 3,527.17
  4. Step 4: Simplify right side
    9,768.63x = 51,651,736.39
  5. Step 5: Solve for x
    x = 51,651,736.39/9,768.63
  6. Step 6: Final answer
    x = 5,287.51

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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.