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Finding the Fourth Proportional to 11,643.13, 16,064.89 and 9,762.31

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Solution

The fourth proportional to 11,643.13, 16,064.89 and 9,762.31 is: 13,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.13 : 16,064.89 = 9,762.31 : x
  2. Step 2: Convert to fraction form
    11,643.13/16,064.89 = 9,762.31/x
  3. Step 3: Cross multiply
    11,643.13x = 16,064.89 × 9,762.31
  4. Step 4: Simplify right side
    11,643.13x = 156,830,436.30
  5. Step 5: Solve for x
    x = 156,830,436.30/11,643.13
  6. Step 6: Final answer
    x = 13,469.78

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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.