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Finding the Fourth Proportional to 6,914.96, 9,542.28 and 5,154.32

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Solution

The fourth proportional to 6,914.96, 9,542.28 and 5,154.32 is: 7,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.96 : 9,542.28 = 5,154.32 : x
  2. Step 2: Convert to fraction form
    6,914.96/9,542.28 = 5,154.32/x
  3. Step 3: Cross multiply
    6,914.96x = 9,542.28 × 5,154.32
  4. Step 4: Simplify right side
    6,914.96x = 49,183,964.65
  5. Step 5: Solve for x
    x = 49,183,964.65/6,914.96
  6. Step 6: Final answer
    x = 7,112.69

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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.