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Finding the Fourth Proportional to 9,664.98, 13,308.02 and 8,463.09

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Solution

The fourth proportional to 9,664.98, 13,308.02 and 8,463.09 is: 11,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.98 : 13,308.02 = 8,463.09 : x
  2. Step 2: Convert to fraction form
    9,664.98/13,308.02 = 8,463.09/x
  3. Step 3: Cross multiply
    9,664.98x = 13,308.02 × 8,463.09
  4. Step 4: Simplify right side
    9,664.98x = 112,626,928.67
  5. Step 5: Solve for x
    x = 112,626,928.67/9,664.98
  6. Step 6: Final answer
    x = 11,653.09

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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.