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Finding the Fourth Proportional to 6,295.86, 9,443.79 and 2,595.51

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Solution

The fourth proportional to 6,295.86, 9,443.79 and 2,595.51 is: 3,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.86 : 9,443.79 = 2,595.51 : x
  2. Step 2: Convert to fraction form
    6,295.86/9,443.79 = 2,595.51/x
  3. Step 3: Cross multiply
    6,295.86x = 9,443.79 × 2,595.51
  4. Step 4: Simplify right side
    6,295.86x = 24,511,451.38
  5. Step 5: Solve for x
    x = 24,511,451.38/6,295.86
  6. Step 6: Final answer
    x = 3,893.27

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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.