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Finding the Fourth Proportional to 6,918, 9,546.84 and 3,774.18

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Solution

The fourth proportional to 6,918, 9,546.84 and 3,774.18 is: 5,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918 : 9,546.84 = 3,774.18 : x
  2. Step 2: Convert to fraction form
    6,918/9,546.84 = 3,774.18/x
  3. Step 3: Cross multiply
    6,918x = 9,546.84 × 3,774.18
  4. Step 4: Simplify right side
    6,918x = 36,031,492.59
  5. Step 5: Solve for x
    x = 36,031,492.59/6,918
  6. Step 6: Final answer
    x = 5,208.37

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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.