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Finding the Fourth Proportional to 6,738.89, 9,304.65 and 4,089.87

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Solution

The fourth proportional to 6,738.89, 9,304.65 and 4,089.87 is: 5,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.89 : 9,304.65 = 4,089.87 : x
  2. Step 2: Convert to fraction form
    6,738.89/9,304.65 = 4,089.87/x
  3. Step 3: Cross multiply
    6,738.89x = 9,304.65 × 4,089.87
  4. Step 4: Simplify right side
    6,738.89x = 38,054,808.90
  5. Step 5: Solve for x
    x = 38,054,808.90/6,738.89
  6. Step 6: Final answer
    x = 5,647.05

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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.