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Finding the Fourth Proportional to 6,092.04, 9,116.94 and 3,751

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Solution

The fourth proportional to 6,092.04, 9,116.94 and 3,751 is: 5,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.04 : 9,116.94 = 3,751 : x
  2. Step 2: Convert to fraction form
    6,092.04/9,116.94 = 3,751/x
  3. Step 3: Cross multiply
    6,092.04x = 9,116.94 × 3,751
  4. Step 4: Simplify right side
    6,092.04x = 34,197,641.94
  5. Step 5: Solve for x
    x = 34,197,641.94/6,092.04
  6. Step 6: Final answer
    x = 5,613.50

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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.