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Finding the Fourth Proportional to 9,814.46, 13,543.65 and 5,338.22

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Solution

The fourth proportional to 9,814.46, 13,543.65 and 5,338.22 is: 7,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.46 : 13,543.65 = 5,338.22 : x
  2. Step 2: Convert to fraction form
    9,814.46/13,543.65 = 5,338.22/x
  3. Step 3: Cross multiply
    9,814.46x = 13,543.65 × 5,338.22
  4. Step 4: Simplify right side
    9,814.46x = 72,298,915.58
  5. Step 5: Solve for x
    x = 72,298,915.58/9,814.46
  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.