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Finding the Fourth Proportional to 6,543.85, 9,809.91 and 2,380.92

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Solution

The fourth proportional to 6,543.85, 9,809.91 and 2,380.92 is: 3,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.85 : 9,809.91 = 2,380.92 : x
  2. Step 2: Convert to fraction form
    6,543.85/9,809.91 = 2,380.92/x
  3. Step 3: Cross multiply
    6,543.85x = 9,809.91 × 2,380.92
  4. Step 4: Simplify right side
    6,543.85x = 23,356,607.58
  5. Step 5: Solve for x
    x = 23,356,607.58/6,543.85
  6. Step 6: Final answer
    x = 3,569.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.