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Finding the Fourth Proportional to 9,206.40, 13,809.60 and 6,633.60

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Solution

The fourth proportional to 9,206.40, 13,809.60 and 6,633.60 is: 9,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.40 : 13,809.60 = 6,633.60 : x
  2. Step 2: Convert to fraction form
    9,206.40/13,809.60 = 6,633.60/x
  3. Step 3: Cross multiply
    9,206.40x = 13,809.60 × 6,633.60
  4. Step 4: Simplify right side
    9,206.40x = 91,607,362.56
  5. Step 5: Solve for x
    x = 91,607,362.56/9,206.40
  6. Step 6: Final answer
    x = 9,950.40

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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.