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Finding the Fourth Proportional to 9,564.34, 14,346.39 and 2,638.66

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Solution

The fourth proportional to 9,564.34, 14,346.39 and 2,638.66 is: 3,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.34 : 14,346.39 = 2,638.66 : x
  2. Step 2: Convert to fraction form
    9,564.34/14,346.39 = 2,638.66/x
  3. Step 3: Cross multiply
    9,564.34x = 14,346.39 × 2,638.66
  4. Step 4: Simplify right side
    9,564.34x = 37,855,245.44
  5. Step 5: Solve for x
    x = 37,855,245.44/9,564.34
  6. Step 6: Final answer
    x = 3,957.96

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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.