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Finding the Fourth Proportional to 6,530.77, 9,756.41 and 4,171.85

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Solution

The fourth proportional to 6,530.77, 9,756.41 and 4,171.85 is: 6,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.77 : 9,756.41 = 4,171.85 : x
  2. Step 2: Convert to fraction form
    6,530.77/9,756.41 = 4,171.85/x
  3. Step 3: Cross multiply
    6,530.77x = 9,756.41 × 4,171.85
  4. Step 4: Simplify right side
    6,530.77x = 40,702,279.06
  5. Step 5: Solve for x
    x = 40,702,279.06/6,530.77
  6. Step 6: Final answer
    x = 6,232.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.