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Finding the Fourth Proportional to 9,853.68, 14,775.60 and 3,277.56

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Solution

The fourth proportional to 9,853.68, 14,775.60 and 3,277.56 is: 4,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.68 : 14,775.60 = 3,277.56 : x
  2. Step 2: Convert to fraction form
    9,853.68/14,775.60 = 3,277.56/x
  3. Step 3: Cross multiply
    9,853.68x = 14,775.60 × 3,277.56
  4. Step 4: Simplify right side
    9,853.68x = 48,427,915.54
  5. Step 5: Solve for x
    x = 48,427,915.54/9,853.68
  6. Step 6: Final answer
    x = 4,914.70

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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.