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Finding the Fourth Proportional to 6,429.30, 8,872.92 and 3,775.74

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Solution

The fourth proportional to 6,429.30, 8,872.92 and 3,775.74 is: 5,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.30 : 8,872.92 = 3,775.74 : x
  2. Step 2: Convert to fraction form
    6,429.30/8,872.92 = 3,775.74/x
  3. Step 3: Cross multiply
    6,429.30x = 8,872.92 × 3,775.74
  4. Step 4: Simplify right side
    6,429.30x = 33,501,838.96
  5. Step 5: Solve for x
    x = 33,501,838.96/6,429.30
  6. Step 6: Final answer
    x = 5,210.81

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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.