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Finding the Fourth Proportional to 6,887.21, 9,503.57 and 3,902.40

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Solution

The fourth proportional to 6,887.21, 9,503.57 and 3,902.40 is: 5,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.21 : 9,503.57 = 3,902.40 : x
  2. Step 2: Convert to fraction form
    6,887.21/9,503.57 = 3,902.40/x
  3. Step 3: Cross multiply
    6,887.21x = 9,503.57 × 3,902.40
  4. Step 4: Simplify right side
    6,887.21x = 37,086,712.06
  5. Step 5: Solve for x
    x = 37,086,712.06/6,887.21
  6. Step 6: Final answer
    x = 5,384.87

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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.