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Finding the Fourth Proportional to 6,386.50, 9,572.93 and 3,092.37

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Solution

The fourth proportional to 6,386.50, 9,572.93 and 3,092.37 is: 4,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.50 : 9,572.93 = 3,092.37 : x
  2. Step 2: Convert to fraction form
    6,386.50/9,572.93 = 3,092.37/x
  3. Step 3: Cross multiply
    6,386.50x = 9,572.93 × 3,092.37
  4. Step 4: Simplify right side
    6,386.50x = 29,602,993.68
  5. Step 5: Solve for x
    x = 29,602,993.68/6,386.50
  6. Step 6: Final answer
    x = 4,635.25

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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.