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Finding the Fourth Proportional to 6,194.79, 9,295.29 and 5,378.67

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Solution

The fourth proportional to 6,194.79, 9,295.29 and 5,378.67 is: 8,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.79 : 9,295.29 = 5,378.67 : x
  2. Step 2: Convert to fraction form
    6,194.79/9,295.29 = 5,378.67/x
  3. Step 3: Cross multiply
    6,194.79x = 9,295.29 × 5,378.67
  4. Step 4: Simplify right side
    6,194.79x = 49,996,297.46
  5. Step 5: Solve for x
    x = 49,996,297.46/6,194.79
  6. Step 6: Final answer
    x = 8,070.70

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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.