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Finding the Fourth Proportional to 9,412.54, 12,989.78 and 5,220.80

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Solution

The fourth proportional to 9,412.54, 12,989.78 and 5,220.80 is: 7,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.54 : 12,989.78 = 5,220.80 : x
  2. Step 2: Convert to fraction form
    9,412.54/12,989.78 = 5,220.80/x
  3. Step 3: Cross multiply
    9,412.54x = 12,989.78 × 5,220.80
  4. Step 4: Simplify right side
    9,412.54x = 67,817,043.42
  5. Step 5: Solve for x
    x = 67,817,043.42/9,412.54
  6. Step 6: Final answer
    x = 7,204.97

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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.