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Finding the Fourth Proportional to 9,640.17, 14,461.43 and 2,714.67

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Solution

The fourth proportional to 9,640.17, 14,461.43 and 2,714.67 is: 4,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.17 : 14,461.43 = 2,714.67 : x
  2. Step 2: Convert to fraction form
    9,640.17/14,461.43 = 2,714.67/x
  3. Step 3: Cross multiply
    9,640.17x = 14,461.43 × 2,714.67
  4. Step 4: Simplify right side
    9,640.17x = 39,257,996.60
  5. Step 5: Solve for x
    x = 39,257,996.60/9,640.17
  6. Step 6: Final answer
    x = 4,072.33

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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.