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Finding the Fourth Proportional to 9,353, 14,049.84 and 5,656.96

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Solution

The fourth proportional to 9,353, 14,049.84 and 5,656.96 is: 8,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353 : 14,049.84 = 5,656.96 : x
  2. Step 2: Convert to fraction form
    9,353/14,049.84 = 5,656.96/x
  3. Step 3: Cross multiply
    9,353x = 14,049.84 × 5,656.96
  4. Step 4: Simplify right side
    9,353x = 79,479,382.89
  5. Step 5: Solve for x
    x = 79,479,382.89/9,353
  6. Step 6: Final answer
    x = 8,497.74

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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.