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Finding the Fourth Proportional to 9,846, 13,589.33 and 5,654.25

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Solution

The fourth proportional to 9,846, 13,589.33 and 5,654.25 is: 7,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 13,589.33 = 5,654.25 : x
  2. Step 2: Convert to fraction form
    9,846/13,589.33 = 5,654.25/x
  3. Step 3: Cross multiply
    9,846x = 13,589.33 × 5,654.25
  4. Step 4: Simplify right side
    9,846x = 76,837,440.88
  5. Step 5: Solve for x
    x = 76,837,440.88/9,846
  6. Step 6: Final answer
    x = 7,803.92

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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.