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Finding the Fourth Proportional to 8,645.84, 11,932.81 and 6,779.60

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Solution

The fourth proportional to 8,645.84, 11,932.81 and 6,779.60 is: 9,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.84 : 11,932.81 = 6,779.60 : x
  2. Step 2: Convert to fraction form
    8,645.84/11,932.81 = 6,779.60/x
  3. Step 3: Cross multiply
    8,645.84x = 11,932.81 × 6,779.60
  4. Step 4: Simplify right side
    8,645.84x = 80,899,602.06
  5. Step 5: Solve for x
    x = 80,899,602.06/8,645.84
  6. Step 6: Final answer
    x = 9,357.06

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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.