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Finding the Fourth Proportional to 9,672.80, 14,509.20 and 4,743.20

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Solution

The fourth proportional to 9,672.80, 14,509.20 and 4,743.20 is: 7,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.80 : 14,509.20 = 4,743.20 : x
  2. Step 2: Convert to fraction form
    9,672.80/14,509.20 = 4,743.20/x
  3. Step 3: Cross multiply
    9,672.80x = 14,509.20 × 4,743.20
  4. Step 4: Simplify right side
    9,672.80x = 68,820,037.44
  5. Step 5: Solve for x
    x = 68,820,037.44/9,672.80
  6. Step 6: Final answer
    x = 7,114.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.