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Finding the Fourth Proportional to 7,212.14, 9,953.25 and 4,228.10

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Solution

The fourth proportional to 7,212.14, 9,953.25 and 4,228.10 is: 5,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.14 : 9,953.25 = 4,228.10 : x
  2. Step 2: Convert to fraction form
    7,212.14/9,953.25 = 4,228.10/x
  3. Step 3: Cross multiply
    7,212.14x = 9,953.25 × 4,228.10
  4. Step 4: Simplify right side
    7,212.14x = 42,083,308.03
  5. Step 5: Solve for x
    x = 42,083,308.03/7,212.14
  6. Step 6: Final answer
    x = 5,835.07

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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.