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Finding the Fourth Proportional to 9,638.90, 14,452.27 and 5,415.46

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Solution

The fourth proportional to 9,638.90, 14,452.27 and 5,415.46 is: 8,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.90 : 14,452.27 = 5,415.46 : x
  2. Step 2: Convert to fraction form
    9,638.90/14,452.27 = 5,415.46/x
  3. Step 3: Cross multiply
    9,638.90x = 14,452.27 × 5,415.46
  4. Step 4: Simplify right side
    9,638.90x = 78,265,690.09
  5. Step 5: Solve for x
    x = 78,265,690.09/9,638.90
  6. Step 6: Final answer
    x = 8,119.77

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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.