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Finding the Fourth Proportional to 7,914.29, 10,914.50 and 6,794.87

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Solution

The fourth proportional to 7,914.29, 10,914.50 and 6,794.87 is: 9,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.29 : 10,914.50 = 6,794.87 : x
  2. Step 2: Convert to fraction form
    7,914.29/10,914.50 = 6,794.87/x
  3. Step 3: Cross multiply
    7,914.29x = 10,914.50 × 6,794.87
  4. Step 4: Simplify right side
    7,914.29x = 74,162,574.64
  5. Step 5: Solve for x
    x = 74,162,574.64/7,914.29
  6. Step 6: Final answer
    x = 9,370.72

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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.