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Finding the Fourth Proportional to 7,220.20, 9,964.88 and 4,237

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Solution

The fourth proportional to 7,220.20, 9,964.88 and 4,237 is: 5,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.20 : 9,964.88 = 4,237 : x
  2. Step 2: Convert to fraction form
    7,220.20/9,964.88 = 4,237/x
  3. Step 3: Cross multiply
    7,220.20x = 9,964.88 × 4,237
  4. Step 4: Simplify right side
    7,220.20x = 42,221,196.56
  5. Step 5: Solve for x
    x = 42,221,196.56/7,220.20
  6. Step 6: Final answer
    x = 5,847.65

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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.