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Finding the Fourth Proportional to 7,129.72, 9,839.04 and 3,985.96

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Solution

The fourth proportional to 7,129.72, 9,839.04 and 3,985.96 is: 5,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.72 : 9,839.04 = 3,985.96 : x
  2. Step 2: Convert to fraction form
    7,129.72/9,839.04 = 3,985.96/x
  3. Step 3: Cross multiply
    7,129.72x = 9,839.04 × 3,985.96
  4. Step 4: Simplify right side
    7,129.72x = 39,218,019.88
  5. Step 5: Solve for x
    x = 39,218,019.88/7,129.72
  6. Step 6: Final answer
    x = 5,500.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.