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Finding the Fourth Proportional to 6,774.12, 9,348.43 and 4,085.33

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Solution

The fourth proportional to 6,774.12, 9,348.43 and 4,085.33 is: 5,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.12 : 9,348.43 = 4,085.33 : x
  2. Step 2: Convert to fraction form
    6,774.12/9,348.43 = 4,085.33/x
  3. Step 3: Cross multiply
    6,774.12x = 9,348.43 × 4,085.33
  4. Step 4: Simplify right side
    6,774.12x = 38,191,434.69
  5. Step 5: Solve for x
    x = 38,191,434.69/6,774.12
  6. Step 6: Final answer
    x = 5,637.84

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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.