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Finding the Fourth Proportional to 9,538.48, 13,165.86 and 6,181.18

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Solution

The fourth proportional to 9,538.48, 13,165.86 and 6,181.18 is: 8,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.48 : 13,165.86 = 6,181.18 : x
  2. Step 2: Convert to fraction form
    9,538.48/13,165.86 = 6,181.18/x
  3. Step 3: Cross multiply
    9,538.48x = 13,165.86 × 6,181.18
  4. Step 4: Simplify right side
    9,538.48x = 81,380,550.51
  5. Step 5: Solve for x
    x = 81,380,550.51/9,538.48
  6. Step 6: Final answer
    x = 8,531.82

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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.