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Finding the Fourth Proportional to 7,914.42, 10,914.67 and 6,795

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Solution

The fourth proportional to 7,914.42, 10,914.67 and 6,795 is: 9,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.42 : 10,914.67 = 6,795 : x
  2. Step 2: Convert to fraction form
    7,914.42/10,914.67 = 6,795/x
  3. Step 3: Cross multiply
    7,914.42x = 10,914.67 × 6,795
  4. Step 4: Simplify right side
    7,914.42x = 74,165,182.65
  5. Step 5: Solve for x
    x = 74,165,182.65/7,914.42
  6. Step 6: Final answer
    x = 9,370.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.