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Finding the Fourth Proportional to 9,726.96, 14,589.06 and 5,553.42

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Solution

The fourth proportional to 9,726.96, 14,589.06 and 5,553.42 is: 8,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.96 : 14,589.06 = 5,553.42 : x
  2. Step 2: Convert to fraction form
    9,726.96/14,589.06 = 5,553.42/x
  3. Step 3: Cross multiply
    9,726.96x = 14,589.06 × 5,553.42
  4. Step 4: Simplify right side
    9,726.96x = 81,019,177.59
  5. Step 5: Solve for x
    x = 81,019,177.59/9,726.96
  6. Step 6: Final answer
    x = 8,329.34

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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.