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Finding the Fourth Proportional to 6,335.69, 9,503.53 and 3,432.44

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Solution

The fourth proportional to 6,335.69, 9,503.53 and 3,432.44 is: 5,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.69 : 9,503.53 = 3,432.44 : x
  2. Step 2: Convert to fraction form
    6,335.69/9,503.53 = 3,432.44/x
  3. Step 3: Cross multiply
    6,335.69x = 9,503.53 × 3,432.44
  4. Step 4: Simplify right side
    6,335.69x = 32,620,311.69
  5. Step 5: Solve for x
    x = 32,620,311.69/6,335.69
  6. Step 6: Final answer
    x = 5,148.66

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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.