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Finding the Fourth Proportional to 6,295.05, 9,435.69 and 2,595.38

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Solution

The fourth proportional to 6,295.05, 9,435.69 and 2,595.38 is: 3,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.05 : 9,435.69 = 2,595.38 : x
  2. Step 2: Convert to fraction form
    6,295.05/9,435.69 = 2,595.38/x
  3. Step 3: Cross multiply
    6,295.05x = 9,435.69 × 2,595.38
  4. Step 4: Simplify right side
    6,295.05x = 24,489,153.93
  5. Step 5: Solve for x
    x = 24,489,153.93/6,295.05
  6. Step 6: Final answer
    x = 3,890.22

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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.