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Finding the Fourth Proportional to 9,185.70, 13,742.10 and 7,966.65

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Solution

The fourth proportional to 9,185.70, 13,742.10 and 7,966.65 is: 11,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.70 : 13,742.10 = 7,966.65 : x
  2. Step 2: Convert to fraction form
    9,185.70/13,742.10 = 7,966.65/x
  3. Step 3: Cross multiply
    9,185.70x = 13,742.10 × 7,966.65
  4. Step 4: Simplify right side
    9,185.70x = 109,478,500.97
  5. Step 5: Solve for x
    x = 109,478,500.97/9,185.70
  6. Step 6: Final answer
    x = 11,918.36

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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.