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Finding the Fourth Proportional to 9,187.96, 12,679.39 and 5,209.08

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Solution

The fourth proportional to 9,187.96, 12,679.39 and 5,209.08 is: 7,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.96 : 12,679.39 = 5,209.08 : x
  2. Step 2: Convert to fraction form
    9,187.96/12,679.39 = 5,209.08/x
  3. Step 3: Cross multiply
    9,187.96x = 12,679.39 × 5,209.08
  4. Step 4: Simplify right side
    9,187.96x = 66,047,889.63
  5. Step 5: Solve for x
    x = 66,047,889.63/9,187.96
  6. Step 6: Final answer
    x = 7,188.52

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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.