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Finding the Fourth Proportional to 6,543.18, 9,812.25 and 2,159.46

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Solution

The fourth proportional to 6,543.18, 9,812.25 and 2,159.46 is: 3,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.18 : 9,812.25 = 2,159.46 : x
  2. Step 2: Convert to fraction form
    6,543.18/9,812.25 = 2,159.46/x
  3. Step 3: Cross multiply
    6,543.18x = 9,812.25 × 2,159.46
  4. Step 4: Simplify right side
    6,543.18x = 21,189,161.39
  5. Step 5: Solve for x
    x = 21,189,161.39/6,543.18
  6. Step 6: Final answer
    x = 3,238.36

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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.