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Finding the Fourth Proportional to 9,772.41, 14,659.17 and 2,752.95

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Solution

The fourth proportional to 9,772.41, 14,659.17 and 2,752.95 is: 4,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.41 : 14,659.17 = 2,752.95 : x
  2. Step 2: Convert to fraction form
    9,772.41/14,659.17 = 2,752.95/x
  3. Step 3: Cross multiply
    9,772.41x = 14,659.17 × 2,752.95
  4. Step 4: Simplify right side
    9,772.41x = 40,355,962.05
  5. Step 5: Solve for x
    x = 40,355,962.05/9,772.41
  6. Step 6: Final answer
    x = 4,129.58

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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.