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Finding the Fourth Proportional to 9,676.08, 14,513.04 and 2,656.62

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Solution

The fourth proportional to 9,676.08, 14,513.04 and 2,656.62 is: 3,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.08 : 14,513.04 = 2,656.62 : x
  2. Step 2: Convert to fraction form
    9,676.08/14,513.04 = 2,656.62/x
  3. Step 3: Cross multiply
    9,676.08x = 14,513.04 × 2,656.62
  4. Step 4: Simplify right side
    9,676.08x = 38,555,632.32
  5. Step 5: Solve for x
    x = 38,555,632.32/9,676.08
  6. Step 6: Final answer
    x = 3,984.63

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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.