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Finding the Fourth Proportional to 9,853.67, 14,777.34 and 3,278.09

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Solution

The fourth proportional to 9,853.67, 14,777.34 and 3,278.09 is: 4,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.67 : 14,777.34 = 3,278.09 : x
  2. Step 2: Convert to fraction form
    9,853.67/14,777.34 = 3,278.09/x
  3. Step 3: Cross multiply
    9,853.67x = 14,777.34 × 3,278.09
  4. Step 4: Simplify right side
    9,853.67x = 48,441,475.13
  5. Step 5: Solve for x
    x = 48,441,475.13/9,853.67
  6. Step 6: Final answer
    x = 4,916.08

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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.