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Finding the Fourth Proportional to 6,347.82, 9,505.17 and 5,108.46

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Solution

The fourth proportional to 6,347.82, 9,505.17 and 5,108.46 is: 7,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.82 : 9,505.17 = 5,108.46 : x
  2. Step 2: Convert to fraction form
    6,347.82/9,505.17 = 5,108.46/x
  3. Step 3: Cross multiply
    6,347.82x = 9,505.17 × 5,108.46
  4. Step 4: Simplify right side
    6,347.82x = 48,556,780.74
  5. Step 5: Solve for x
    x = 48,556,780.74/6,347.82
  6. Step 6: Final answer
    x = 7,649.36

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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.