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Finding the Fourth Proportional to 6,206.40, 9,311.76 and 5,765.76

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Solution

The fourth proportional to 6,206.40, 9,311.76 and 5,765.76 is: 8,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.40 : 9,311.76 = 5,765.76 : x
  2. Step 2: Convert to fraction form
    6,206.40/9,311.76 = 5,765.76/x
  3. Step 3: Cross multiply
    6,206.40x = 9,311.76 × 5,765.76
  4. Step 4: Simplify right side
    6,206.40x = 53,689,373.34
  5. Step 5: Solve for x
    x = 53,689,373.34/6,206.40
  6. Step 6: Final answer
    x = 8,650.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.