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Finding the Fourth Proportional to 7,211.88, 9,955.80 and 4,226.76

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Solution

The fourth proportional to 7,211.88, 9,955.80 and 4,226.76 is: 5,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.88 : 9,955.80 = 4,226.76 : x
  2. Step 2: Convert to fraction form
    7,211.88/9,955.80 = 4,226.76/x
  3. Step 3: Cross multiply
    7,211.88x = 9,955.80 × 4,226.76
  4. Step 4: Simplify right side
    7,211.88x = 42,080,777.21
  5. Step 5: Solve for x
    x = 42,080,777.21/7,211.88
  6. Step 6: Final answer
    x = 5,834.92

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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.