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Finding the Fourth Proportional to 9,732.88, 14,612.28 and 8,959.60

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Solution

The fourth proportional to 9,732.88, 14,612.28 and 8,959.60 is: 13,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.88 : 14,612.28 = 8,959.60 : x
  2. Step 2: Convert to fraction form
    9,732.88/14,612.28 = 8,959.60/x
  3. Step 3: Cross multiply
    9,732.88x = 14,612.28 × 8,959.60
  4. Step 4: Simplify right side
    9,732.88x = 130,920,183.89
  5. Step 5: Solve for x
    x = 130,920,183.89/9,732.88
  6. Step 6: Final answer
    x = 13,451.33

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1.5x scale

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.