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Finding the Fourth Proportional to 9,854.98, 14,773.07 and 3,276.56

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Solution

The fourth proportional to 9,854.98, 14,773.07 and 3,276.56 is: 4,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.98 : 14,773.07 = 3,276.56 : x
  2. Step 2: Convert to fraction form
    9,854.98/14,773.07 = 3,276.56/x
  3. Step 3: Cross multiply
    9,854.98x = 14,773.07 × 3,276.56
  4. Step 4: Simplify right side
    9,854.98x = 48,404,850.24
  5. Step 5: Solve for x
    x = 48,404,850.24/9,854.98
  6. Step 6: Final answer
    x = 4,911.71

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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.