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Finding the Fourth Proportional to 6,765.45, 9,339.20 and 4,113.71

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Solution

The fourth proportional to 6,765.45, 9,339.20 and 4,113.71 is: 5,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.45 : 9,339.20 = 4,113.71 : x
  2. Step 2: Convert to fraction form
    6,765.45/9,339.20 = 4,113.71/x
  3. Step 3: Cross multiply
    6,765.45x = 9,339.20 × 4,113.71
  4. Step 4: Simplify right side
    6,765.45x = 38,418,760.43
  5. Step 5: Solve for x
    x = 38,418,760.43/6,765.45
  6. Step 6: Final answer
    x = 5,678.67

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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.