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Finding the Fourth Proportional to 9,005.97, 13,506.21 and 3,161.19

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Solution

The fourth proportional to 9,005.97, 13,506.21 and 3,161.19 is: 4,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.97 : 13,506.21 = 3,161.19 : x
  2. Step 2: Convert to fraction form
    9,005.97/13,506.21 = 3,161.19/x
  3. Step 3: Cross multiply
    9,005.97x = 13,506.21 × 3,161.19
  4. Step 4: Simplify right side
    9,005.97x = 42,695,695.99
  5. Step 5: Solve for x
    x = 42,695,695.99/9,005.97
  6. Step 6: Final answer
    x = 4,740.82

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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.