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Finding the Fourth Proportional to 6,092.25, 9,138.35 and 4,985.08

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Solution

The fourth proportional to 6,092.25, 9,138.35 and 4,985.08 is: 7,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.25 : 9,138.35 = 4,985.08 : x
  2. Step 2: Convert to fraction form
    6,092.25/9,138.35 = 4,985.08/x
  3. Step 3: Cross multiply
    6,092.25x = 9,138.35 × 4,985.08
  4. Step 4: Simplify right side
    6,092.25x = 45,555,395.43
  5. Step 5: Solve for x
    x = 45,555,395.43/6,092.25
  6. Step 6: Final answer
    x = 7,477.60

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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.