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Finding the Fourth Proportional to 7,121.36, 9,820.98 and 5,439.65

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Solution

The fourth proportional to 7,121.36, 9,820.98 and 5,439.65 is: 7,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.36 : 9,820.98 = 5,439.65 : x
  2. Step 2: Convert to fraction form
    7,121.36/9,820.98 = 5,439.65/x
  3. Step 3: Cross multiply
    7,121.36x = 9,820.98 × 5,439.65
  4. Step 4: Simplify right side
    7,121.36x = 53,422,644.75
  5. Step 5: Solve for x
    x = 53,422,644.75/7,121.36
  6. Step 6: Final answer
    x = 7,501.74

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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.