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Finding the Fourth Proportional to 6,650.71, 9,178.05 and 3,666.65

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Solution

The fourth proportional to 6,650.71, 9,178.05 and 3,666.65 is: 5,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.71 : 9,178.05 = 3,666.65 : x
  2. Step 2: Convert to fraction form
    6,650.71/9,178.05 = 3,666.65/x
  3. Step 3: Cross multiply
    6,650.71x = 9,178.05 × 3,666.65
  4. Step 4: Simplify right side
    6,650.71x = 33,652,713.12
  5. Step 5: Solve for x
    x = 33,652,713.12/6,650.71
  6. Step 6: Final answer
    x = 5,060.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.