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Finding the Fourth Proportional to 6,176.40, 9,264.69 and 2,016.38

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Solution

The fourth proportional to 6,176.40, 9,264.69 and 2,016.38 is: 3,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.40 : 9,264.69 = 2,016.38 : x
  2. Step 2: Convert to fraction form
    6,176.40/9,264.69 = 2,016.38/x
  3. Step 3: Cross multiply
    6,176.40x = 9,264.69 × 2,016.38
  4. Step 4: Simplify right side
    6,176.40x = 18,681,089.30
  5. Step 5: Solve for x
    x = 18,681,089.30/6,176.40
  6. Step 6: Final answer
    x = 3,024.59

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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.