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Finding the Fourth Proportional to 6,188.34, 9,274.32 and 5,362.78

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Solution

The fourth proportional to 6,188.34, 9,274.32 and 5,362.78 is: 8,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.34 : 9,274.32 = 5,362.78 : x
  2. Step 2: Convert to fraction form
    6,188.34/9,274.32 = 5,362.78/x
  3. Step 3: Cross multiply
    6,188.34x = 9,274.32 × 5,362.78
  4. Step 4: Simplify right side
    6,188.34x = 49,736,137.81
  5. Step 5: Solve for x
    x = 49,736,137.81/6,188.34
  6. Step 6: Final answer
    x = 8,037.07

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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.