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Finding the Fourth Proportional to 6,553.84, 9,042.60 and 3,900.08

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Solution

The fourth proportional to 6,553.84, 9,042.60 and 3,900.08 is: 5,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.84 : 9,042.60 = 3,900.08 : x
  2. Step 2: Convert to fraction form
    6,553.84/9,042.60 = 3,900.08/x
  3. Step 3: Cross multiply
    6,553.84x = 9,042.60 × 3,900.08
  4. Step 4: Simplify right side
    6,553.84x = 35,266,863.41
  5. Step 5: Solve for x
    x = 35,266,863.41/6,553.84
  6. Step 6: Final answer
    x = 5,381.10

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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.