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Finding the Fourth Proportional to 9,640.47, 14,460.70 and 2,714.97

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Solution

The fourth proportional to 9,640.47, 14,460.70 and 2,714.97 is: 4,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.47 : 14,460.70 = 2,714.97 : x
  2. Step 2: Convert to fraction form
    9,640.47/14,460.70 = 2,714.97/x
  3. Step 3: Cross multiply
    9,640.47x = 14,460.70 × 2,714.97
  4. Step 4: Simplify right side
    9,640.47x = 39,260,366.68
  5. Step 5: Solve for x
    x = 39,260,366.68/9,640.47
  6. Step 6: Final answer
    x = 4,072.45

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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.