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Finding the Fourth Proportional to 6,206.96, 9,311.10 and 2,045.76

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Solution

The fourth proportional to 6,206.96, 9,311.10 and 2,045.76 is: 3,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.96 : 9,311.10 = 2,045.76 : x
  2. Step 2: Convert to fraction form
    6,206.96/9,311.10 = 2,045.76/x
  3. Step 3: Cross multiply
    6,206.96x = 9,311.10 × 2,045.76
  4. Step 4: Simplify right side
    6,206.96x = 19,048,275.94
  5. Step 5: Solve for x
    x = 19,048,275.94/6,206.96
  6. Step 6: Final answer
    x = 3,068.86

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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.