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Finding the Fourth Proportional to 9,665.22, 13,308.36 and 8,463.32

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Solution

The fourth proportional to 9,665.22, 13,308.36 and 8,463.32 is: 11,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.22 : 13,308.36 = 8,463.32 : x
  2. Step 2: Convert to fraction form
    9,665.22/13,308.36 = 8,463.32/x
  3. Step 3: Cross multiply
    9,665.22x = 13,308.36 × 8,463.32
  4. Step 4: Simplify right side
    9,665.22x = 112,632,909.36
  5. Step 5: Solve for x
    x = 112,632,909.36/9,665.22
  6. Step 6: Final answer
    x = 11,653.42

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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.