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Finding the Fourth Proportional to 6,819.45, 9,414 and 5,141.55

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Solution

The fourth proportional to 6,819.45, 9,414 and 5,141.55 is: 7,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.45 : 9,414 = 5,141.55 : x
  2. Step 2: Convert to fraction form
    6,819.45/9,414 = 5,141.55/x
  3. Step 3: Cross multiply
    6,819.45x = 9,414 × 5,141.55
  4. Step 4: Simplify right side
    6,819.45x = 48,402,551.70
  5. Step 5: Solve for x
    x = 48,402,551.70/6,819.45
  6. Step 6: Final answer
    x = 7,097.72

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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.