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Finding the Fourth Proportional to 9,194.48, 12,689.01 and 5,215.62

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Solution

The fourth proportional to 9,194.48, 12,689.01 and 5,215.62 is: 7,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.48 : 12,689.01 = 5,215.62 : x
  2. Step 2: Convert to fraction form
    9,194.48/12,689.01 = 5,215.62/x
  3. Step 3: Cross multiply
    9,194.48x = 12,689.01 × 5,215.62
  4. Step 4: Simplify right side
    9,194.48x = 66,181,054.34
  5. Step 5: Solve for x
    x = 66,181,054.34/9,194.48
  6. Step 6: Final answer
    x = 7,197.92

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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.