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Finding the Fourth Proportional to 6,297.85, 9,439.75 and 2,595.61

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Solution

The fourth proportional to 6,297.85, 9,439.75 and 2,595.61 is: 3,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.85 : 9,439.75 = 2,595.61 : x
  2. Step 2: Convert to fraction form
    6,297.85/9,439.75 = 2,595.61/x
  3. Step 3: Cross multiply
    6,297.85x = 9,439.75 × 2,595.61
  4. Step 4: Simplify right side
    6,297.85x = 24,501,909.50
  5. Step 5: Solve for x
    x = 24,501,909.50/6,297.85
  6. Step 6: Final answer
    x = 3,890.52

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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.