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Finding the Fourth Proportional to 7,209.76, 9,949.93 and 4,224.50

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Solution

The fourth proportional to 7,209.76, 9,949.93 and 4,224.50 is: 5,830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.76 : 9,949.93 = 4,224.50 : x
  2. Step 2: Convert to fraction form
    7,209.76/9,949.93 = 4,224.50/x
  3. Step 3: Cross multiply
    7,209.76x = 9,949.93 × 4,224.50
  4. Step 4: Simplify right side
    7,209.76x = 42,033,493.60
  5. Step 5: Solve for x
    x = 42,033,493.60/7,209.76
  6. Step 6: Final answer
    x = 5,830.08

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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.