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Finding the Fourth Proportional to 9,736.20, 14,615.10 and 9,101.70

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Solution

The fourth proportional to 9,736.20, 14,615.10 and 9,101.70 is: 13,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.20 : 14,615.10 = 9,101.70 : x
  2. Step 2: Convert to fraction form
    9,736.20/14,615.10 = 9,101.70/x
  3. Step 3: Cross multiply
    9,736.20x = 14,615.10 × 9,101.70
  4. Step 4: Simplify right side
    9,736.20x = 133,022,255.67
  5. Step 5: Solve for x
    x = 133,022,255.67/9,736.20
  6. Step 6: Final answer
    x = 13,662.65

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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.