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Finding the Fourth Proportional to 9,117.77, 13,676.63 and 2,543.99

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Solution

The fourth proportional to 9,117.77, 13,676.63 and 2,543.99 is: 3,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.77 : 13,676.63 = 2,543.99 : x
  2. Step 2: Convert to fraction form
    9,117.77/13,676.63 = 2,543.99/x
  3. Step 3: Cross multiply
    9,117.77x = 13,676.63 × 2,543.99
  4. Step 4: Simplify right side
    9,117.77x = 34,793,128.85
  5. Step 5: Solve for x
    x = 34,793,128.85/9,117.77
  6. Step 6: Final answer
    x = 3,815.97

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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.