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Finding the Fourth Proportional to 9,191.16, 12,683.79 and 5,212.26

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Solution

The fourth proportional to 9,191.16, 12,683.79 and 5,212.26 is: 7,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.16 : 12,683.79 = 5,212.26 : x
  2. Step 2: Convert to fraction form
    9,191.16/12,683.79 = 5,212.26/x
  3. Step 3: Cross multiply
    9,191.16x = 12,683.79 × 5,212.26
  4. Step 4: Simplify right side
    9,191.16x = 66,111,211.27
  5. Step 5: Solve for x
    x = 66,111,211.27/9,191.16
  6. Step 6: Final answer
    x = 7,192.91

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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.