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Finding the Fourth Proportional to 9,106.65, 13,660.11 and 8,659.19

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Solution

The fourth proportional to 9,106.65, 13,660.11 and 8,659.19 is: 12,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.65 : 13,660.11 = 8,659.19 : x
  2. Step 2: Convert to fraction form
    9,106.65/13,660.11 = 8,659.19/x
  3. Step 3: Cross multiply
    9,106.65x = 13,660.11 × 8,659.19
  4. Step 4: Simplify right side
    9,106.65x = 118,285,522.06
  5. Step 5: Solve for x
    x = 118,285,522.06/9,106.65
  6. Step 6: Final answer
    x = 12,988.92

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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.