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Finding the Fourth Proportional to 9,618.52, 14,429.22 and 3,042.52

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Solution

The fourth proportional to 9,618.52, 14,429.22 and 3,042.52 is: 4,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.52 : 14,429.22 = 3,042.52 : x
  2. Step 2: Convert to fraction form
    9,618.52/14,429.22 = 3,042.52/x
  3. Step 3: Cross multiply
    9,618.52x = 14,429.22 × 3,042.52
  4. Step 4: Simplify right side
    9,618.52x = 43,901,190.43
  5. Step 5: Solve for x
    x = 43,901,190.43/9,618.52
  6. Step 6: Final answer
    x = 4,564.24

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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.