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Finding the Fourth Proportional to 9,995.48, 14,995.46 and 3,839.32

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Solution

The fourth proportional to 9,995.48, 14,995.46 and 3,839.32 is: 5,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.48 : 14,995.46 = 3,839.32 : x
  2. Step 2: Convert to fraction form
    9,995.48/14,995.46 = 3,839.32/x
  3. Step 3: Cross multiply
    9,995.48x = 14,995.46 × 3,839.32
  4. Step 4: Simplify right side
    9,995.48x = 57,572,369.49
  5. Step 5: Solve for x
    x = 57,572,369.49/9,995.48
  6. Step 6: Final answer
    x = 5,759.84

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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.