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Finding the Fourth Proportional to 7,147.49, 9,865.46 and 4,314.92

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Solution

The fourth proportional to 7,147.49, 9,865.46 and 4,314.92 is: 5,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.49 : 9,865.46 = 4,314.92 : x
  2. Step 2: Convert to fraction form
    7,147.49/9,865.46 = 4,314.92/x
  3. Step 3: Cross multiply
    7,147.49x = 9,865.46 × 4,314.92
  4. Step 4: Simplify right side
    7,147.49x = 42,568,632.12
  5. Step 5: Solve for x
    x = 42,568,632.12/7,147.49
  6. Step 6: Final answer
    x = 5,955.75

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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.