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Finding the Fourth Proportional to 6,347.17, 9,506.89 and 2,638.16

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Solution

The fourth proportional to 6,347.17, 9,506.89 and 2,638.16 is: 3,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.17 : 9,506.89 = 2,638.16 : x
  2. Step 2: Convert to fraction form
    6,347.17/9,506.89 = 2,638.16/x
  3. Step 3: Cross multiply
    6,347.17x = 9,506.89 × 2,638.16
  4. Step 4: Simplify right side
    6,347.17x = 25,080,649.39
  5. Step 5: Solve for x
    x = 25,080,649.39/6,347.17
  6. Step 6: Final answer
    x = 3,951.47

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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.