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Finding the Fourth Proportional to 9,191.60, 12,682.80 and 5,212.16

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Solution

The fourth proportional to 9,191.60, 12,682.80 and 5,212.16 is: 7,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.60 : 12,682.80 = 5,212.16 : x
  2. Step 2: Convert to fraction form
    9,191.60/12,682.80 = 5,212.16/x
  3. Step 3: Cross multiply
    9,191.60x = 12,682.80 × 5,212.16
  4. Step 4: Simplify right side
    9,191.60x = 66,104,782.85
  5. Step 5: Solve for x
    x = 66,104,782.85/9,191.60
  6. Step 6: Final answer
    x = 7,191.87

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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.