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Finding the Fourth Proportional to 9,191.34, 12,683.32 and 5,213.09

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Solution

The fourth proportional to 9,191.34, 12,683.32 and 5,213.09 is: 7,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.34 : 12,683.32 = 5,213.09 : x
  2. Step 2: Convert to fraction form
    9,191.34/12,683.32 = 5,213.09/x
  3. Step 3: Cross multiply
    9,191.34x = 12,683.32 × 5,213.09
  4. Step 4: Simplify right side
    9,191.34x = 66,119,307.33
  5. Step 5: Solve for x
    x = 66,119,307.33/9,191.34
  6. Step 6: Final answer
    x = 7,193.65

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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.