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Finding the Fourth Proportional to 9,191.93, 12,685.36 and 5,214.32

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Solution

The fourth proportional to 9,191.93, 12,685.36 and 5,214.32 is: 7,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.93 : 12,685.36 = 5,214.32 : x
  2. Step 2: Convert to fraction form
    9,191.93/12,685.36 = 5,214.32/x
  3. Step 3: Cross multiply
    9,191.93x = 12,685.36 × 5,214.32
  4. Step 4: Simplify right side
    9,191.93x = 66,145,578.59
  5. Step 5: Solve for x
    x = 66,145,578.59/9,191.93
  6. Step 6: Final answer
    x = 7,196.05

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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.