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Finding the Fourth Proportional to 6,554.84, 9,832.23 and 2,659.23

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Solution

The fourth proportional to 6,554.84, 9,832.23 and 2,659.23 is: 3,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.84 : 9,832.23 = 2,659.23 : x
  2. Step 2: Convert to fraction form
    6,554.84/9,832.23 = 2,659.23/x
  3. Step 3: Cross multiply
    6,554.84x = 9,832.23 × 2,659.23
  4. Step 4: Simplify right side
    6,554.84x = 26,146,160.98
  5. Step 5: Solve for x
    x = 26,146,160.98/6,554.84
  6. Step 6: Final answer
    x = 3,988.84

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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.