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Finding the Fourth Proportional to 9,494.51, 14,241.80 and 2,920.65

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Solution

The fourth proportional to 9,494.51, 14,241.80 and 2,920.65 is: 4,380.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.51 : 14,241.80 = 2,920.65 : x
  2. Step 2: Convert to fraction form
    9,494.51/14,241.80 = 2,920.65/x
  3. Step 3: Cross multiply
    9,494.51x = 14,241.80 × 2,920.65
  4. Step 4: Simplify right side
    9,494.51x = 41,595,313.17
  5. Step 5: Solve for x
    x = 41,595,313.17/9,494.51
  6. Step 6: Final answer
    x = 4,380.99

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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.