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Finding the Fourth Proportional to 6,612.75, 9,130.46 and 4,513.23

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Solution

The fourth proportional to 6,612.75, 9,130.46 and 4,513.23 is: 6,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612.75 : 9,130.46 = 4,513.23 : x
  2. Step 2: Convert to fraction form
    6,612.75/9,130.46 = 4,513.23/x
  3. Step 3: Cross multiply
    6,612.75x = 9,130.46 × 4,513.23
  4. Step 4: Simplify right side
    6,612.75x = 41,207,843.42
  5. Step 5: Solve for x
    x = 41,207,843.42/6,612.75
  6. Step 6: Final answer
    x = 6,231.57

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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.