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Finding the Fourth Proportional to 6,342.84, 9,524.04 and 5,655.96

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Solution

The fourth proportional to 6,342.84, 9,524.04 and 5,655.96 is: 8,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.84 : 9,524.04 = 5,655.96 : x
  2. Step 2: Convert to fraction form
    6,342.84/9,524.04 = 5,655.96/x
  3. Step 3: Cross multiply
    6,342.84x = 9,524.04 × 5,655.96
  4. Step 4: Simplify right side
    6,342.84x = 53,867,589.28
  5. Step 5: Solve for x
    x = 53,867,589.28/6,342.84
  6. Step 6: Final answer
    x = 8,492.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.