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Finding the Fourth Proportional to 7,222.14, 9,968.63 and 4,238.10

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Solution

The fourth proportional to 7,222.14, 9,968.63 and 4,238.10 is: 5,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.14 : 9,968.63 = 4,238.10 : x
  2. Step 2: Convert to fraction form
    7,222.14/9,968.63 = 4,238.10/x
  3. Step 3: Cross multiply
    7,222.14x = 9,968.63 × 4,238.10
  4. Step 4: Simplify right side
    7,222.14x = 42,248,050.80
  5. Step 5: Solve for x
    x = 42,248,050.80/7,222.14
  6. Step 6: Final answer
    x = 5,849.80

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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.