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Finding the Fourth Proportional to 7,047.14, 9,724.38 and 4,213.95

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Solution

The fourth proportional to 7,047.14, 9,724.38 and 4,213.95 is: 5,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.14 : 9,724.38 = 4,213.95 : x
  2. Step 2: Convert to fraction form
    7,047.14/9,724.38 = 4,213.95/x
  3. Step 3: Cross multiply
    7,047.14x = 9,724.38 × 4,213.95
  4. Step 4: Simplify right side
    7,047.14x = 40,978,051.10
  5. Step 5: Solve for x
    x = 40,978,051.10/7,047.14
  6. Step 6: Final answer
    x = 5,814.85

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Why These Related Problems?

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