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Finding the Fourth Proportional to 6,425.44, 9,641.52 and 3,503.20

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Solution

The fourth proportional to 6,425.44, 9,641.52 and 3,503.20 is: 5,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.44 : 9,641.52 = 3,503.20 : x
  2. Step 2: Convert to fraction form
    6,425.44/9,641.52 = 3,503.20/x
  3. Step 3: Cross multiply
    6,425.44x = 9,641.52 × 3,503.20
  4. Step 4: Simplify right side
    6,425.44x = 33,776,172.86
  5. Step 5: Solve for x
    x = 33,776,172.86/6,425.44
  6. Step 6: Final answer
    x = 5,256.63

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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.