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Finding the Fourth Proportional to 9,313.27, 13,953.65 and 7,763.23

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Solution

The fourth proportional to 9,313.27, 13,953.65 and 7,763.23 is: 11,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.27 : 13,953.65 = 7,763.23 : x
  2. Step 2: Convert to fraction form
    9,313.27/13,953.65 = 7,763.23/x
  3. Step 3: Cross multiply
    9,313.27x = 13,953.65 × 7,763.23
  4. Step 4: Simplify right side
    9,313.27x = 108,325,394.29
  5. Step 5: Solve for x
    x = 108,325,394.29/9,313.27
  6. Step 6: Final answer
    x = 11,631.30

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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.