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Finding the Fourth Proportional to 6,975.45, 9,628.25 and 4,143.28

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Solution

The fourth proportional to 6,975.45, 9,628.25 and 4,143.28 is: 5,718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.45 : 9,628.25 = 4,143.28 : x
  2. Step 2: Convert to fraction form
    6,975.45/9,628.25 = 4,143.28/x
  3. Step 3: Cross multiply
    6,975.45x = 9,628.25 × 4,143.28
  4. Step 4: Simplify right side
    6,975.45x = 39,892,514.94
  5. Step 5: Solve for x
    x = 39,892,514.94/6,975.45
  6. Step 6: Final answer
    x = 5,718.99

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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.