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Finding the Fourth Proportional to 9,463.69, 12,965.31 and 9,108.98

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Solution

The fourth proportional to 9,463.69, 12,965.31 and 9,108.98 is: 12,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.69 : 12,965.31 = 9,108.98 : x
  2. Step 2: Convert to fraction form
    9,463.69/12,965.31 = 9,108.98/x
  3. Step 3: Cross multiply
    9,463.69x = 12,965.31 × 9,108.98
  4. Step 4: Simplify right side
    9,463.69x = 118,100,781.90
  5. Step 5: Solve for x
    x = 118,100,781.90/9,463.69
  6. Step 6: Final answer
    x = 12,479.36

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.