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Finding the Fourth Proportional to 9,113.25, 13,675.25 and 3,847.92

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Solution

The fourth proportional to 9,113.25, 13,675.25 and 3,847.92 is: 5,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.25 : 13,675.25 = 3,847.92 : x
  2. Step 2: Convert to fraction form
    9,113.25/13,675.25 = 3,847.92/x
  3. Step 3: Cross multiply
    9,113.25x = 13,675.25 × 3,847.92
  4. Step 4: Simplify right side
    9,113.25x = 52,621,232.48
  5. Step 5: Solve for x
    x = 52,621,232.48/9,113.25
  6. Step 6: Final answer
    x = 5,774.15

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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.