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Finding the Fourth Proportional to 7,042.32, 9,717.84 and 3,898.44

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Solution

The fourth proportional to 7,042.32, 9,717.84 and 3,898.44 is: 5,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.32 : 9,717.84 = 3,898.44 : x
  2. Step 2: Convert to fraction form
    7,042.32/9,717.84 = 3,898.44/x
  3. Step 3: Cross multiply
    7,042.32x = 9,717.84 × 3,898.44
  4. Step 4: Simplify right side
    7,042.32x = 37,884,416.17
  5. Step 5: Solve for x
    x = 37,884,416.17/7,042.32
  6. Step 6: Final answer
    x = 5,379.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.