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Finding the Fourth Proportional to 9,522.72, 14,287.68 and 3,679.68

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Solution

The fourth proportional to 9,522.72, 14,287.68 and 3,679.68 is: 5,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.72 : 14,287.68 = 3,679.68 : x
  2. Step 2: Convert to fraction form
    9,522.72/14,287.68 = 3,679.68/x
  3. Step 3: Cross multiply
    9,522.72x = 14,287.68 × 3,679.68
  4. Step 4: Simplify right side
    9,522.72x = 52,574,090.34
  5. Step 5: Solve for x
    x = 52,574,090.34/9,522.72
  6. Step 6: Final answer
    x = 5,520.91

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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.