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Finding the Fourth Proportional to 6,562.12, 9,055.86 and 3,767.80

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Solution

The fourth proportional to 6,562.12, 9,055.86 and 3,767.80 is: 5,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.12 : 9,055.86 = 3,767.80 : x
  2. Step 2: Convert to fraction form
    6,562.12/9,055.86 = 3,767.80/x
  3. Step 3: Cross multiply
    6,562.12x = 9,055.86 × 3,767.80
  4. Step 4: Simplify right side
    6,562.12x = 34,120,669.31
  5. Step 5: Solve for x
    x = 34,120,669.31/6,562.12
  6. Step 6: Final answer
    x = 5,199.64

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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.