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Finding the Fourth Proportional to 6,543.59, 9,817.56 and 2,101.95

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Solution

The fourth proportional to 6,543.59, 9,817.56 and 2,101.95 is: 3,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.59 : 9,817.56 = 2,101.95 : x
  2. Step 2: Convert to fraction form
    6,543.59/9,817.56 = 2,101.95/x
  3. Step 3: Cross multiply
    6,543.59x = 9,817.56 × 2,101.95
  4. Step 4: Simplify right side
    6,543.59x = 20,636,020.24
  5. Step 5: Solve for x
    x = 20,636,020.24/6,543.59
  6. Step 6: Final answer
    x = 3,153.63

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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.