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Finding the Fourth Proportional to 9,499.26, 14,243.84 and 4,754.68

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Solution

The fourth proportional to 9,499.26, 14,243.84 and 4,754.68 is: 7,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.26 : 14,243.84 = 4,754.68 : x
  2. Step 2: Convert to fraction form
    9,499.26/14,243.84 = 4,754.68/x
  3. Step 3: Cross multiply
    9,499.26x = 14,243.84 × 4,754.68
  4. Step 4: Simplify right side
    9,499.26x = 67,724,901.17
  5. Step 5: Solve for x
    x = 67,724,901.17/9,499.26
  6. Step 6: Final answer
    x = 7,129.49

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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.