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Finding the Fourth Proportional to 9,206.17, 13,809.30 and 2,632.30

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Solution

The fourth proportional to 9,206.17, 13,809.30 and 2,632.30 is: 3,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.17 : 13,809.30 = 2,632.30 : x
  2. Step 2: Convert to fraction form
    9,206.17/13,809.30 = 2,632.30/x
  3. Step 3: Cross multiply
    9,206.17x = 13,809.30 × 2,632.30
  4. Step 4: Simplify right side
    9,206.17x = 36,350,220.39
  5. Step 5: Solve for x
    x = 36,350,220.39/9,206.17
  6. Step 6: Final answer
    x = 3,948.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.