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Finding the Fourth Proportional to 9,814.50, 13,543.87 and 5,338.15

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Solution

The fourth proportional to 9,814.50, 13,543.87 and 5,338.15 is: 7,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.50 : 13,543.87 = 5,338.15 : x
  2. Step 2: Convert to fraction form
    9,814.50/13,543.87 = 5,338.15/x
  3. Step 3: Cross multiply
    9,814.50x = 13,543.87 × 5,338.15
  4. Step 4: Simplify right side
    9,814.50x = 72,299,209.64
  5. Step 5: Solve for x
    x = 72,299,209.64/9,814.50
  6. Step 6: Final answer
    x = 7,366.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.