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Finding the Fourth Proportional to 9,192.08, 12,684.90 and 5,213.16

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Solution

The fourth proportional to 9,192.08, 12,684.90 and 5,213.16 is: 7,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.08 : 12,684.90 = 5,213.16 : x
  2. Step 2: Convert to fraction form
    9,192.08/12,684.90 = 5,213.16/x
  3. Step 3: Cross multiply
    9,192.08x = 12,684.90 × 5,213.16
  4. Step 4: Simplify right side
    9,192.08x = 66,128,432.83
  5. Step 5: Solve for x
    x = 66,128,432.83/9,192.08
  6. Step 6: Final answer
    x = 7,194.06

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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.