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Finding the Fourth Proportional to 9,222, 13,838.67 and 4,842.60

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Solution

The fourth proportional to 9,222, 13,838.67 and 4,842.60 is: 7,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222 : 13,838.67 = 4,842.60 : x
  2. Step 2: Convert to fraction form
    9,222/13,838.67 = 4,842.60/x
  3. Step 3: Cross multiply
    9,222x = 13,838.67 × 4,842.60
  4. Step 4: Simplify right side
    9,222x = 67,015,143.34
  5. Step 5: Solve for x
    x = 67,015,143.34/9,222
  6. Step 6: Final answer
    x = 7,266.88

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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.