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Finding the Fourth Proportional to 9,763.24, 13,473.33 and 5,456.33

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Solution

The fourth proportional to 9,763.24, 13,473.33 and 5,456.33 is: 7,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.24 : 13,473.33 = 5,456.33 : x
  2. Step 2: Convert to fraction form
    9,763.24/13,473.33 = 5,456.33/x
  3. Step 3: Cross multiply
    9,763.24x = 13,473.33 × 5,456.33
  4. Step 4: Simplify right side
    9,763.24x = 73,514,934.68
  5. Step 5: Solve for x
    x = 73,514,934.68/9,763.24
  6. Step 6: Final answer
    x = 7,529.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.