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Finding the Fourth Proportional to 9,255.84, 13,875.12 and 3,408.48

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Solution

The fourth proportional to 9,255.84, 13,875.12 and 3,408.48 is: 5,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.84 : 13,875.12 = 3,408.48 : x
  2. Step 2: Convert to fraction form
    9,255.84/13,875.12 = 3,408.48/x
  3. Step 3: Cross multiply
    9,255.84x = 13,875.12 × 3,408.48
  4. Step 4: Simplify right side
    9,255.84x = 47,293,069.02
  5. Step 5: Solve for x
    x = 47,293,069.02/9,255.84
  6. Step 6: Final answer
    x = 5,109.54

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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.