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Finding the Fourth Proportional to 6,943.80, 9,592.86 and 4,559.40

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Solution

The fourth proportional to 6,943.80, 9,592.86 and 4,559.40 is: 6,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.80 : 9,592.86 = 4,559.40 : x
  2. Step 2: Convert to fraction form
    6,943.80/9,592.86 = 4,559.40/x
  3. Step 3: Cross multiply
    6,943.80x = 9,592.86 × 4,559.40
  4. Step 4: Simplify right side
    6,943.80x = 43,737,685.88
  5. Step 5: Solve for x
    x = 43,737,685.88/6,943.80
  6. Step 6: Final answer
    x = 6,298.81

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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.