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Finding the Fourth Proportional to 6,638.89, 9,161.93 and 3,655.00

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Solution

The fourth proportional to 6,638.89, 9,161.93 and 3,655.00 is: 5,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.89 : 9,161.93 = 3,655.00 : x
  2. Step 2: Convert to fraction form
    6,638.89/9,161.93 = 3,655.00/x
  3. Step 3: Cross multiply
    6,638.89x = 9,161.93 × 3,655.00
  4. Step 4: Simplify right side
    6,638.89x = 33,486,874.74
  5. Step 5: Solve for x
    x = 33,486,874.74/6,638.89
  6. Step 6: Final answer
    x = 5,044.05

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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.