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Finding the Fourth Proportional to 6,092.82, 9,139.19 and 4,985.64

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Solution

The fourth proportional to 6,092.82, 9,139.19 and 4,985.64 is: 7,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.82 : 9,139.19 = 4,985.64 : x
  2. Step 2: Convert to fraction form
    6,092.82/9,139.19 = 4,985.64/x
  3. Step 3: Cross multiply
    6,092.82x = 9,139.19 × 4,985.64
  4. Step 4: Simplify right side
    6,092.82x = 45,564,686.30
  5. Step 5: Solve for x
    x = 45,564,686.30/6,092.82
  6. Step 6: Final answer
    x = 7,478.42

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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.