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Finding the Fourth Proportional to 9,754.52, 14,631.87 and 7,819.02

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Solution

The fourth proportional to 9,754.52, 14,631.87 and 7,819.02 is: 11,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.52 : 14,631.87 = 7,819.02 : x
  2. Step 2: Convert to fraction form
    9,754.52/14,631.87 = 7,819.02/x
  3. Step 3: Cross multiply
    9,754.52x = 14,631.87 × 7,819.02
  4. Step 4: Simplify right side
    9,754.52x = 114,406,884.17
  5. Step 5: Solve for x
    x = 114,406,884.17/9,754.52
  6. Step 6: Final answer
    x = 11,728.61

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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.