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Finding the Fourth Proportional to 6,529.44, 9,009.72 and 3,840.78

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Solution

The fourth proportional to 6,529.44, 9,009.72 and 3,840.78 is: 5,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.44 : 9,009.72 = 3,840.78 : x
  2. Step 2: Convert to fraction form
    6,529.44/9,009.72 = 3,840.78/x
  3. Step 3: Cross multiply
    6,529.44x = 9,009.72 × 3,840.78
  4. Step 4: Simplify right side
    6,529.44x = 34,604,352.38
  5. Step 5: Solve for x
    x = 34,604,352.38/6,529.44
  6. Step 6: Final answer
    x = 5,299.74

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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.