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Finding the Fourth Proportional to 6,385.90, 9,564.93 and 3,092.02

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Solution

The fourth proportional to 6,385.90, 9,564.93 and 3,092.02 is: 4,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.90 : 9,564.93 = 3,092.02 : x
  2. Step 2: Convert to fraction form
    6,385.90/9,564.93 = 3,092.02/x
  3. Step 3: Cross multiply
    6,385.90x = 9,564.93 × 3,092.02
  4. Step 4: Simplify right side
    6,385.90x = 29,574,954.86
  5. Step 5: Solve for x
    x = 29,574,954.86/6,385.90
  6. Step 6: Final answer
    x = 4,631.29

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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.