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Finding the Fourth Proportional to 9,191.07, 12,685.01 and 5,213.16

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Solution

The fourth proportional to 9,191.07, 12,685.01 and 5,213.16 is: 7,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.07 : 12,685.01 = 5,213.16 : x
  2. Step 2: Convert to fraction form
    9,191.07/12,685.01 = 5,213.16/x
  3. Step 3: Cross multiply
    9,191.07x = 12,685.01 × 5,213.16
  4. Step 4: Simplify right side
    9,191.07x = 66,128,960.67
  5. Step 5: Solve for x
    x = 66,128,960.67/9,191.07
  6. Step 6: Final answer
    x = 7,194.91

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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.