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Finding the Fourth Proportional to 6,554.50, 9,836.81 and 4,892.78

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Solution

The fourth proportional to 6,554.50, 9,836.81 and 4,892.78 is: 7,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.50 : 9,836.81 = 4,892.78 : x
  2. Step 2: Convert to fraction form
    6,554.50/9,836.81 = 4,892.78/x
  3. Step 3: Cross multiply
    6,554.50x = 9,836.81 × 4,892.78
  4. Step 4: Simplify right side
    6,554.50x = 48,129,347.23
  5. Step 5: Solve for x
    x = 48,129,347.23/6,554.50
  6. Step 6: Final answer
    x = 7,342.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.