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Finding the Fourth Proportional to 9,701.24, 14,553.98 and 5,543.24

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Solution

The fourth proportional to 9,701.24, 14,553.98 and 5,543.24 is: 8,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.24 : 14,553.98 = 5,543.24 : x
  2. Step 2: Convert to fraction form
    9,701.24/14,553.98 = 5,543.24/x
  3. Step 3: Cross multiply
    9,701.24x = 14,553.98 × 5,543.24
  4. Step 4: Simplify right side
    9,701.24x = 80,676,204.10
  5. Step 5: Solve for x
    x = 80,676,204.10/9,701.24
  6. Step 6: Final answer
    x = 8,316.07

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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.