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Finding the Fourth Proportional to 9,523.96, 13,111.30 and 8,192.32

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Solution

The fourth proportional to 9,523.96, 13,111.30 and 8,192.32 is: 11,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.96 : 13,111.30 = 8,192.32 : x
  2. Step 2: Convert to fraction form
    9,523.96/13,111.30 = 8,192.32/x
  3. Step 3: Cross multiply
    9,523.96x = 13,111.30 × 8,192.32
  4. Step 4: Simplify right side
    9,523.96x = 107,411,965.22
  5. Step 5: Solve for x
    x = 107,411,965.22/9,523.96
  6. Step 6: Final answer
    x = 11,278.08

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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.