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Finding the Fourth Proportional to 9,957.97, 14,937 and 4,034.97

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Solution

The fourth proportional to 9,957.97, 14,937 and 4,034.97 is: 6,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.97 : 14,937 = 4,034.97 : x
  2. Step 2: Convert to fraction form
    9,957.97/14,937 = 4,034.97/x
  3. Step 3: Cross multiply
    9,957.97x = 14,937 × 4,034.97
  4. Step 4: Simplify right side
    9,957.97x = 60,270,346.89
  5. Step 5: Solve for x
    x = 60,270,346.89/9,957.97
  6. Step 6: Final answer
    x = 6,052.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.