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Finding the Fourth Proportional to 6,543.29, 9,816.59 and 1,863.32

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Solution

The fourth proportional to 6,543.29, 9,816.59 and 1,863.32 is: 2,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.29 : 9,816.59 = 1,863.32 : x
  2. Step 2: Convert to fraction form
    6,543.29/9,816.59 = 1,863.32/x
  3. Step 3: Cross multiply
    6,543.29x = 9,816.59 × 1,863.32
  4. Step 4: Simplify right side
    6,543.29x = 18,291,404.05
  5. Step 5: Solve for x
    x = 18,291,404.05/6,543.29
  6. Step 6: Final answer
    x = 2,795.44

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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.