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Finding the Fourth Proportional to 9,077.44, 13,613.28 and 2,920

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Solution

The fourth proportional to 9,077.44, 13,613.28 and 2,920 is: 4,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.44 : 13,613.28 = 2,920 : x
  2. Step 2: Convert to fraction form
    9,077.44/13,613.28 = 2,920/x
  3. Step 3: Cross multiply
    9,077.44x = 13,613.28 × 2,920
  4. Step 4: Simplify right side
    9,077.44x = 39,750,777.60
  5. Step 5: Solve for x
    x = 39,750,777.60/9,077.44
  6. Step 6: Final answer
    x = 4,379.07

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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.