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Finding the Fourth Proportional to 9,850.80, 14,774.56 and 3,277.68

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Solution

The fourth proportional to 9,850.80, 14,774.56 and 3,277.68 is: 4,915.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.80 : 14,774.56 = 3,277.68 : x
  2. Step 2: Convert to fraction form
    9,850.80/14,774.56 = 3,277.68/x
  3. Step 3: Cross multiply
    9,850.80x = 14,774.56 × 3,277.68
  4. Step 4: Simplify right side
    9,850.80x = 48,426,279.82
  5. Step 5: Solve for x
    x = 48,426,279.82/9,850.80
  6. Step 6: Final answer
    x = 4,915.97

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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.