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Finding the Fourth Proportional to 8,949.63, 13,430.63 and 3,106.24

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Solution

The fourth proportional to 8,949.63, 13,430.63 and 3,106.24 is: 4,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949.63 : 13,430.63 = 3,106.24 : x
  2. Step 2: Convert to fraction form
    8,949.63/13,430.63 = 3,106.24/x
  3. Step 3: Cross multiply
    8,949.63x = 13,430.63 × 3,106.24
  4. Step 4: Simplify right side
    8,949.63x = 41,718,760.13
  5. Step 5: Solve for x
    x = 41,718,760.13/8,949.63
  6. Step 6: Final answer
    x = 4,661.51

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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.