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Finding the Fourth Proportional to 6,975.90, 9,625.24 and 4,144.23

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Solution

The fourth proportional to 6,975.90, 9,625.24 and 4,144.23 is: 5,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.90 : 9,625.24 = 4,144.23 : x
  2. Step 2: Convert to fraction form
    6,975.90/9,625.24 = 4,144.23/x
  3. Step 3: Cross multiply
    6,975.90x = 9,625.24 × 4,144.23
  4. Step 4: Simplify right side
    6,975.90x = 39,889,139.52
  5. Step 5: Solve for x
    x = 39,889,139.52/6,975.90
  6. Step 6: Final answer
    x = 5,718.14

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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.