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Finding the Fourth Proportional to 7,128.57, 9,837.96 and 3,984.57

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Solution

The fourth proportional to 7,128.57, 9,837.96 and 3,984.57 is: 5,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.57 : 9,837.96 = 3,984.57 : x
  2. Step 2: Convert to fraction form
    7,128.57/9,837.96 = 3,984.57/x
  3. Step 3: Cross multiply
    7,128.57x = 9,837.96 × 3,984.57
  4. Step 4: Simplify right side
    7,128.57x = 39,200,040.28
  5. Step 5: Solve for x
    x = 39,200,040.28/7,128.57
  6. Step 6: Final answer
    x = 5,499.00

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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.