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Finding the Fourth Proportional to 9,663.57, 14,504.85 and 4,736.79

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Solution

The fourth proportional to 9,663.57, 14,504.85 and 4,736.79 is: 7,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.57 : 14,504.85 = 4,736.79 : x
  2. Step 2: Convert to fraction form
    9,663.57/14,504.85 = 4,736.79/x
  3. Step 3: Cross multiply
    9,663.57x = 14,504.85 × 4,736.79
  4. Step 4: Simplify right side
    9,663.57x = 68,706,428.43
  5. Step 5: Solve for x
    x = 68,706,428.43/9,663.57
  6. Step 6: Final answer
    x = 7,109.84

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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.