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Finding the Fourth Proportional to 9,473.88, 14,202.18 and 5,367

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Solution

The fourth proportional to 9,473.88, 14,202.18 and 5,367 is: 8,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.88 : 14,202.18 = 5,367 : x
  2. Step 2: Convert to fraction form
    9,473.88/14,202.18 = 5,367/x
  3. Step 3: Cross multiply
    9,473.88x = 14,202.18 × 5,367
  4. Step 4: Simplify right side
    9,473.88x = 76,223,100.06
  5. Step 5: Solve for x
    x = 76,223,100.06/9,473.88
  6. Step 6: Final answer
    x = 8,045.61

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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.