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Finding the Fourth Proportional to 9,850.47, 14,773.44 and 2,830.42

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Solution

The fourth proportional to 9,850.47, 14,773.44 and 2,830.42 is: 4,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.47 : 14,773.44 = 2,830.42 : x
  2. Step 2: Convert to fraction form
    9,850.47/14,773.44 = 2,830.42/x
  3. Step 3: Cross multiply
    9,850.47x = 14,773.44 × 2,830.42
  4. Step 4: Simplify right side
    9,850.47x = 41,815,069.13
  5. Step 5: Solve for x
    x = 41,815,069.13/9,850.47
  6. Step 6: Final answer
    x = 4,244.98

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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.