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Finding the Fourth Proportional to 6,347.85, 9,516.57 and 4,261.47

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Solution

The fourth proportional to 6,347.85, 9,516.57 and 4,261.47 is: 6,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.85 : 9,516.57 = 4,261.47 : x
  2. Step 2: Convert to fraction form
    6,347.85/9,516.57 = 4,261.47/x
  3. Step 3: Cross multiply
    6,347.85x = 9,516.57 × 4,261.47
  4. Step 4: Simplify right side
    6,347.85x = 40,554,577.56
  5. Step 5: Solve for x
    x = 40,554,577.56/6,347.85
  6. Step 6: Final answer
    x = 6,388.71

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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.