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Finding the Fourth Proportional to 7,211.13, 9,952.34 and 4,228.15

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Solution

The fourth proportional to 7,211.13, 9,952.34 and 4,228.15 is: 5,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.13 : 9,952.34 = 4,228.15 : x
  2. Step 2: Convert to fraction form
    7,211.13/9,952.34 = 4,228.15/x
  3. Step 3: Cross multiply
    7,211.13x = 9,952.34 × 4,228.15
  4. Step 4: Simplify right side
    7,211.13x = 42,079,959.01
  5. Step 5: Solve for x
    x = 42,079,959.01/7,211.13
  6. Step 6: Final answer
    x = 5,835.42

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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.