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Finding the Fourth Proportional to 7,128.32, 9,837.69 and 4,144.35

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Solution

The fourth proportional to 7,128.32, 9,837.69 and 4,144.35 is: 5,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.32 : 9,837.69 = 4,144.35 : x
  2. Step 2: Convert to fraction form
    7,128.32/9,837.69 = 4,144.35/x
  3. Step 3: Cross multiply
    7,128.32x = 9,837.69 × 4,144.35
  4. Step 4: Simplify right side
    7,128.32x = 40,770,796.56
  5. Step 5: Solve for x
    x = 40,770,796.56/7,128.32
  6. Step 6: Final answer
    x = 5,719.55

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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.