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Finding the Fourth Proportional to 9,346.34, 14,021.94 and 3,503

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Solution

The fourth proportional to 9,346.34, 14,021.94 and 3,503 is: 5,255.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.34 : 14,021.94 = 3,503 : x
  2. Step 2: Convert to fraction form
    9,346.34/14,021.94 = 3,503/x
  3. Step 3: Cross multiply
    9,346.34x = 14,021.94 × 3,503
  4. Step 4: Simplify right side
    9,346.34x = 49,118,855.82
  5. Step 5: Solve for x
    x = 49,118,855.82/9,346.34
  6. Step 6: Final answer
    x = 5,255.41

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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.