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Finding the Fourth Proportional to 9,116.80, 13,675.48 and 2,876.86

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Solution

The fourth proportional to 9,116.80, 13,675.48 and 2,876.86 is: 4,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.80 : 13,675.48 = 2,876.86 : x
  2. Step 2: Convert to fraction form
    9,116.80/13,675.48 = 2,876.86/x
  3. Step 3: Cross multiply
    9,116.80x = 13,675.48 × 2,876.86
  4. Step 4: Simplify right side
    9,116.80x = 39,342,441.39
  5. Step 5: Solve for x
    x = 39,342,441.39/9,116.80
  6. Step 6: Final answer
    x = 4,315.38

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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.