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Finding the Fourth Proportional to 6,738.89, 9,304.16 and 4,385.03

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Solution

The fourth proportional to 6,738.89, 9,304.16 and 4,385.03 is: 6,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.89 : 9,304.16 = 4,385.03 : x
  2. Step 2: Convert to fraction form
    6,738.89/9,304.16 = 4,385.03/x
  3. Step 3: Cross multiply
    6,738.89x = 9,304.16 × 4,385.03
  4. Step 4: Simplify right side
    6,738.89x = 40,798,952.28
  5. Step 5: Solve for x
    x = 40,798,952.28/6,738.89
  6. Step 6: Final answer
    x = 6,054.26

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