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Finding the Fourth Proportional to 6,543.18, 9,816.42 and 2,844.51

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Solution

The fourth proportional to 6,543.18, 9,816.42 and 2,844.51 is: 4,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.18 : 9,816.42 = 2,844.51 : x
  2. Step 2: Convert to fraction form
    6,543.18/9,816.42 = 2,844.51/x
  3. Step 3: Cross multiply
    6,543.18x = 9,816.42 × 2,844.51
  4. Step 4: Simplify right side
    6,543.18x = 27,922,904.85
  5. Step 5: Solve for x
    x = 27,922,904.85/6,543.18
  6. Step 6: Final answer
    x = 4,267.48

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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.