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Finding the Fourth Proportional to 9,223.72, 13,838.82 and 4,030

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Solution

The fourth proportional to 9,223.72, 13,838.82 and 4,030 is: 6,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.72 : 13,838.82 = 4,030 : x
  2. Step 2: Convert to fraction form
    9,223.72/13,838.82 = 4,030/x
  3. Step 3: Cross multiply
    9,223.72x = 13,838.82 × 4,030
  4. Step 4: Simplify right side
    9,223.72x = 55,770,444.60
  5. Step 5: Solve for x
    x = 55,770,444.60/9,223.72
  6. Step 6: Final answer
    x = 6,046.42

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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.