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Finding the Fourth Proportional to 7,128.75, 9,837.50 and 3,984.96

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Solution

The fourth proportional to 7,128.75, 9,837.50 and 3,984.96 is: 5,499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.75 : 9,837.50 = 3,984.96 : x
  2. Step 2: Convert to fraction form
    7,128.75/9,837.50 = 3,984.96/x
  3. Step 3: Cross multiply
    7,128.75x = 9,837.50 × 3,984.96
  4. Step 4: Simplify right side
    7,128.75x = 39,202,024.08
  5. Step 5: Solve for x
    x = 39,202,024.08/7,128.75
  6. Step 6: Final answer
    x = 5,499.14

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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.