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Finding the Fourth Proportional to 9,752.72, 14,627.52 and 2,732.00

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Solution

The fourth proportional to 9,752.72, 14,627.52 and 2,732.00 is: 4,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.72 : 14,627.52 = 2,732.00 : x
  2. Step 2: Convert to fraction form
    9,752.72/14,627.52 = 2,732.00/x
  3. Step 3: Cross multiply
    9,752.72x = 14,627.52 × 2,732.00
  4. Step 4: Simplify right side
    9,752.72x = 39,962,311.50
  5. Step 5: Solve for x
    x = 39,962,311.50/9,752.72
  6. Step 6: Final answer
    x = 4,097.56

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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.