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Finding the Fourth Proportional to 6,186.25, 9,256.13 and 4,340.97

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Solution

The fourth proportional to 6,186.25, 9,256.13 and 4,340.97 is: 6,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.25 : 9,256.13 = 4,340.97 : x
  2. Step 2: Convert to fraction form
    6,186.25/9,256.13 = 4,340.97/x
  3. Step 3: Cross multiply
    6,186.25x = 9,256.13 × 4,340.97
  4. Step 4: Simplify right side
    6,186.25x = 40,180,514.66
  5. Step 5: Solve for x
    x = 40,180,514.66/6,186.25
  6. Step 6: Final answer
    x = 6,495.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.