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Finding the Fourth Proportional to 9,736.57, 14,605.46 and 6,615.24

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Solution

The fourth proportional to 9,736.57, 14,605.46 and 6,615.24 is: 9,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.57 : 14,605.46 = 6,615.24 : x
  2. Step 2: Convert to fraction form
    9,736.57/14,605.46 = 6,615.24/x
  3. Step 3: Cross multiply
    9,736.57x = 14,605.46 × 6,615.24
  4. Step 4: Simplify right side
    9,736.57x = 96,618,623.21
  5. Step 5: Solve for x
    x = 96,618,623.21/9,736.57
  6. Step 6: Final answer
    x = 9,923.27

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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.