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Finding the Fourth Proportional to 6,592.86, 9,101.90 and 4,361.20

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Solution

The fourth proportional to 6,592.86, 9,101.90 and 4,361.20 is: 6,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.86 : 9,101.90 = 4,361.20 : x
  2. Step 2: Convert to fraction form
    6,592.86/9,101.90 = 4,361.20/x
  3. Step 3: Cross multiply
    6,592.86x = 9,101.90 × 4,361.20
  4. Step 4: Simplify right side
    6,592.86x = 39,695,194.43
  5. Step 5: Solve for x
    x = 39,695,194.43/6,592.86
  6. Step 6: Final answer
    x = 6,020.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.