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Finding the Fourth Proportional to 9,453, 13,048.38 and 5,727

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Solution

The fourth proportional to 9,453, 13,048.38 and 5,727 is: 7,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453 : 13,048.38 = 5,727 : x
  2. Step 2: Convert to fraction form
    9,453/13,048.38 = 5,727/x
  3. Step 3: Cross multiply
    9,453x = 13,048.38 × 5,727
  4. Step 4: Simplify right side
    9,453x = 74,728,072.26
  5. Step 5: Solve for x
    x = 74,728,072.26/9,453
  6. Step 6: Final answer
    x = 7,905.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.