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Finding the Fourth Proportional to 9,726.85, 13,422.50 and 5,748.33

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Solution

The fourth proportional to 9,726.85, 13,422.50 and 5,748.33 is: 7,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.85 : 13,422.50 = 5,748.33 : x
  2. Step 2: Convert to fraction form
    9,726.85/13,422.50 = 5,748.33/x
  3. Step 3: Cross multiply
    9,726.85x = 13,422.50 × 5,748.33
  4. Step 4: Simplify right side
    9,726.85x = 77,157,007.35
  5. Step 5: Solve for x
    x = 77,157,007.35/9,726.85
  6. Step 6: Final answer
    x = 7,932.37

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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.