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Finding the Fourth Proportional to 6,628.25, 9,143.52 and 4,109.55

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Solution

The fourth proportional to 6,628.25, 9,143.52 and 4,109.55 is: 5,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.25 : 9,143.52 = 4,109.55 : x
  2. Step 2: Convert to fraction form
    6,628.25/9,143.52 = 4,109.55/x
  3. Step 3: Cross multiply
    6,628.25x = 9,143.52 × 4,109.55
  4. Step 4: Simplify right side
    6,628.25x = 37,575,752.62
  5. Step 5: Solve for x
    x = 37,575,752.62/6,628.25
  6. Step 6: Final answer
    x = 5,669.03

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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.