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Finding the Fourth Proportional to 9,756.40, 14,629.20 and 3,179.20

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Solution

The fourth proportional to 9,756.40, 14,629.20 and 3,179.20 is: 4,767.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.40 : 14,629.20 = 3,179.20 : x
  2. Step 2: Convert to fraction form
    9,756.40/14,629.20 = 3,179.20/x
  3. Step 3: Cross multiply
    9,756.40x = 14,629.20 × 3,179.20
  4. Step 4: Simplify right side
    9,756.40x = 46,509,152.64
  5. Step 5: Solve for x
    x = 46,509,152.64/9,756.40
  6. Step 6: Final answer
    x = 4,767.04

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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.