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Finding the Fourth Proportional to 9,771.52, 14,657.16 and 2,375.97

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Solution

The fourth proportional to 9,771.52, 14,657.16 and 2,375.97 is: 3,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.52 : 14,657.16 = 2,375.97 : x
  2. Step 2: Convert to fraction form
    9,771.52/14,657.16 = 2,375.97/x
  3. Step 3: Cross multiply
    9,771.52x = 14,657.16 × 2,375.97
  4. Step 4: Simplify right side
    9,771.52x = 34,824,913.03
  5. Step 5: Solve for x
    x = 34,824,913.03/9,771.52
  6. Step 6: Final answer
    x = 3,563.92

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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.