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Finding the Fourth Proportional to 9,116.75, 13,675.65 and 2,876.96

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Solution

The fourth proportional to 9,116.75, 13,675.65 and 2,876.96 is: 4,315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.75 : 13,675.65 = 2,876.96 : x
  2. Step 2: Convert to fraction form
    9,116.75/13,675.65 = 2,876.96/x
  3. Step 3: Cross multiply
    9,116.75x = 13,675.65 × 2,876.96
  4. Step 4: Simplify right side
    9,116.75x = 39,344,298.02
  5. Step 5: Solve for x
    x = 39,344,298.02/9,116.75
  6. Step 6: Final answer
    x = 4,315.61

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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.