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Finding the Fourth Proportional to 9,106.26, 13,675.77 and 8,690.73

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Solution

The fourth proportional to 9,106.26, 13,675.77 and 8,690.73 is: 13,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.26 : 13,675.77 = 8,690.73 : x
  2. Step 2: Convert to fraction form
    9,106.26/13,675.77 = 8,690.73/x
  3. Step 3: Cross multiply
    9,106.26x = 13,675.77 × 8,690.73
  4. Step 4: Simplify right side
    9,106.26x = 118,852,424.61
  5. Step 5: Solve for x
    x = 118,852,424.61/9,106.26
  6. Step 6: Final answer
    x = 13,051.73

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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.