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Finding the Fourth Proportional to 6,543.63, 9,816.29 and 2,382.99

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Solution

The fourth proportional to 6,543.63, 9,816.29 and 2,382.99 is: 3,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.63 : 9,816.29 = 2,382.99 : x
  2. Step 2: Convert to fraction form
    6,543.63/9,816.29 = 2,382.99/x
  3. Step 3: Cross multiply
    6,543.63x = 9,816.29 × 2,382.99
  4. Step 4: Simplify right side
    6,543.63x = 23,392,108.99
  5. Step 5: Solve for x
    x = 23,392,108.99/6,543.63
  6. Step 6: Final answer
    x = 3,574.79

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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.