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Finding the Fourth Proportional to 9,752.76, 14,631.54 and 2,827.26

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Solution

The fourth proportional to 9,752.76, 14,631.54 and 2,827.26 is: 4,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.76 : 14,631.54 = 2,827.26 : x
  2. Step 2: Convert to fraction form
    9,752.76/14,631.54 = 2,827.26/x
  3. Step 3: Cross multiply
    9,752.76x = 14,631.54 × 2,827.26
  4. Step 4: Simplify right side
    9,752.76x = 41,367,167.78
  5. Step 5: Solve for x
    x = 41,367,167.78/9,752.76
  6. Step 6: Final answer
    x = 4,241.59

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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.