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Finding the Fourth Proportional to 6,514.27, 9,001.25 and 5,101.84

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Solution

The fourth proportional to 6,514.27, 9,001.25 and 5,101.84 is: 7,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.27 : 9,001.25 = 5,101.84 : x
  2. Step 2: Convert to fraction form
    6,514.27/9,001.25 = 5,101.84/x
  3. Step 3: Cross multiply
    6,514.27x = 9,001.25 × 5,101.84
  4. Step 4: Simplify right side
    6,514.27x = 45,922,905.89
  5. Step 5: Solve for x
    x = 45,922,905.89/6,514.27
  6. Step 6: Final answer
    x = 7,049.58

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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.