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Finding the Fourth Proportional to 6,139.74, 9,208.28 and 1,756.02

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Solution

The fourth proportional to 6,139.74, 9,208.28 and 1,756.02 is: 2,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.74 : 9,208.28 = 1,756.02 : x
  2. Step 2: Convert to fraction form
    6,139.74/9,208.28 = 1,756.02/x
  3. Step 3: Cross multiply
    6,139.74x = 9,208.28 × 1,756.02
  4. Step 4: Simplify right side
    6,139.74x = 16,169,923.85
  5. Step 5: Solve for x
    x = 16,169,923.85/6,139.74
  6. Step 6: Final answer
    x = 2,633.65

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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.