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Finding the Fourth Proportional to 9,150.97, 13,720.25 and 2,909.11

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Solution

The fourth proportional to 9,150.97, 13,720.25 and 2,909.11 is: 4,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.97 : 13,720.25 = 2,909.11 : x
  2. Step 2: Convert to fraction form
    9,150.97/13,720.25 = 2,909.11/x
  3. Step 3: Cross multiply
    9,150.97x = 13,720.25 × 2,909.11
  4. Step 4: Simplify right side
    9,150.97x = 39,913,701.93
  5. Step 5: Solve for x
    x = 39,913,701.93/9,150.97
  6. Step 6: Final answer
    x = 4,361.69

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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.