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Finding the Fourth Proportional to 6,551.35, 9,038.21 and 3,997.80

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Solution

The fourth proportional to 6,551.35, 9,038.21 and 3,997.80 is: 5,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.35 : 9,038.21 = 3,997.80 : x
  2. Step 2: Convert to fraction form
    6,551.35/9,038.21 = 3,997.80/x
  3. Step 3: Cross multiply
    6,551.35x = 9,038.21 × 3,997.80
  4. Step 4: Simplify right side
    6,551.35x = 36,132,921.77
  5. Step 5: Solve for x
    x = 36,132,921.77/6,551.35
  6. Step 6: Final answer
    x = 5,515.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.