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Finding the Fourth Proportional to 6,645.95, 9,962.77 and 3,722.20

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Solution

The fourth proportional to 6,645.95, 9,962.77 and 3,722.20 is: 5,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.95 : 9,962.77 = 3,722.20 : x
  2. Step 2: Convert to fraction form
    6,645.95/9,962.77 = 3,722.20/x
  3. Step 3: Cross multiply
    6,645.95x = 9,962.77 × 3,722.20
  4. Step 4: Simplify right side
    6,645.95x = 37,083,461.77
  5. Step 5: Solve for x
    x = 37,083,461.77/6,645.95
  6. Step 6: Final answer
    x = 5,579.86

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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.