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Finding the Fourth Proportional to 6,134.68, 9,188.00 and 4,815.43

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Solution

The fourth proportional to 6,134.68, 9,188.00 and 4,815.43 is: 7,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.68 : 9,188.00 = 4,815.43 : x
  2. Step 2: Convert to fraction form
    6,134.68/9,188.00 = 4,815.43/x
  3. Step 3: Cross multiply
    6,134.68x = 9,188.00 × 4,815.43
  4. Step 4: Simplify right side
    6,134.68x = 44,244,100.82
  5. Step 5: Solve for x
    x = 44,244,100.82/6,134.68
  6. Step 6: Final answer
    x = 7,212.13

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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.