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Finding the Fourth Proportional to 9,641.03, 13,305.29 and 5,393.49

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Solution

The fourth proportional to 9,641.03, 13,305.29 and 5,393.49 is: 7,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.03 : 13,305.29 = 5,393.49 : x
  2. Step 2: Convert to fraction form
    9,641.03/13,305.29 = 5,393.49/x
  3. Step 3: Cross multiply
    9,641.03x = 13,305.29 × 5,393.49
  4. Step 4: Simplify right side
    9,641.03x = 71,761,855.07
  5. Step 5: Solve for x
    x = 71,761,855.07/9,641.03
  6. Step 6: Final answer
    x = 7,443.38

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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.