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Finding the Fourth Proportional to 7,109.68, 9,806.08 and 5,220.68

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Solution

The fourth proportional to 7,109.68, 9,806.08 and 5,220.68 is: 7,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.68 : 9,806.08 = 5,220.68 : x
  2. Step 2: Convert to fraction form
    7,109.68/9,806.08 = 5,220.68/x
  3. Step 3: Cross multiply
    7,109.68x = 9,806.08 × 5,220.68
  4. Step 4: Simplify right side
    7,109.68x = 51,194,405.73
  5. Step 5: Solve for x
    x = 51,194,405.73/7,109.68
  6. Step 6: Final answer
    x = 7,200.66

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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.