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Finding the Fourth Proportional to 6,139.67, 9,206.80 and 1,756.13

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Solution

The fourth proportional to 6,139.67, 9,206.80 and 1,756.13 is: 2,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.67 : 9,206.80 = 1,756.13 : x
  2. Step 2: Convert to fraction form
    6,139.67/9,206.80 = 1,756.13/x
  3. Step 3: Cross multiply
    6,139.67x = 9,206.80 × 1,756.13
  4. Step 4: Simplify right side
    6,139.67x = 16,168,337.68
  5. Step 5: Solve for x
    x = 16,168,337.68/6,139.67
  6. Step 6: Final answer
    x = 2,633.42

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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.