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Finding the Fourth Proportional to 6,774.82, 9,349.36 and 3,864.53

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Solution

The fourth proportional to 6,774.82, 9,349.36 and 3,864.53 is: 5,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.82 : 9,349.36 = 3,864.53 : x
  2. Step 2: Convert to fraction form
    6,774.82/9,349.36 = 3,864.53/x
  3. Step 3: Cross multiply
    6,774.82x = 9,349.36 × 3,864.53
  4. Step 4: Simplify right side
    6,774.82x = 36,130,895.91
  5. Step 5: Solve for x
    x = 36,130,895.91/6,774.82
  6. Step 6: Final answer
    x = 5,333.12

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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.