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Finding the Fourth Proportional to 7,128.64, 9,838.44 and 3,985

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Solution

The fourth proportional to 7,128.64, 9,838.44 and 3,985 is: 5,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.64 : 9,838.44 = 3,985 : x
  2. Step 2: Convert to fraction form
    7,128.64/9,838.44 = 3,985/x
  3. Step 3: Cross multiply
    7,128.64x = 9,838.44 × 3,985
  4. Step 4: Simplify right side
    7,128.64x = 39,206,183.40
  5. Step 5: Solve for x
    x = 39,206,183.40/7,128.64
  6. Step 6: Final answer
    x = 5,499.81

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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.