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Finding the Fourth Proportional to 9,408.44, 14,116.05 and 3,565

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Solution

The fourth proportional to 9,408.44, 14,116.05 and 3,565 is: 5,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.44 : 14,116.05 = 3,565 : x
  2. Step 2: Convert to fraction form
    9,408.44/14,116.05 = 3,565/x
  3. Step 3: Cross multiply
    9,408.44x = 14,116.05 × 3,565
  4. Step 4: Simplify right side
    9,408.44x = 50,323,718.25
  5. Step 5: Solve for x
    x = 50,323,718.25/9,408.44
  6. Step 6: Final answer
    x = 5,348.78

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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.