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Finding the Fourth Proportional to 6,529.62, 9,776.16 and 3,402.78

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Solution

The fourth proportional to 6,529.62, 9,776.16 and 3,402.78 is: 5,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.62 : 9,776.16 = 3,402.78 : x
  2. Step 2: Convert to fraction form
    6,529.62/9,776.16 = 3,402.78/x
  3. Step 3: Cross multiply
    6,529.62x = 9,776.16 × 3,402.78
  4. Step 4: Simplify right side
    6,529.62x = 33,266,121.72
  5. Step 5: Solve for x
    x = 33,266,121.72/6,529.62
  6. Step 6: Final answer
    x = 5,094.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.